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1) This document discusses work, power, and energy. It defines work as the product of force and displacement, and defines the units of work as newton-meters (Nm) or joules (J). 2) Power is defined as the rate of doing work, or the ratio of work to time. The units of power are watts (W). 3) Energy exists in various forms including mechanical, thermal, chemical, light, sound, nuclear, and electrical. Mechanical energy includes potential energy, which depends on position or height, and kinetic energy, which depends on motion or velocity. 4) The work-energy principle states that the work done on an object equals its change in

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Equilibrium

This document discusses the topic of equilibrium of rigid bodies. It covers:
- Analytical and graphical conditions for equilibrium of co-planar forces.
- Different types of beam supports like simple, pinned, roller, and fixed supports.
- Free body diagrams and their application in analyzing equilibrium and determining reactions.
- Lami's theorem which states that for three forces in equilibrium, each force is proportional to the sine of the angle between the other two forces.
- Examples of problems involving cylinders, pulleys, beams, and friction on inclined planes.

Applied mechanics

This document discusses the resolution of coplanar forces. It begins by introducing mechanics, its branches, and fundamental concepts like forces and moments. It then covers the classification of force systems, laws of mechanics including the parallelogram law, and the concept of a couple. Finally, it describes analytical and graphical methods for determining the resultant of a coplanar force system, including the parallelogram law, component method, and Bow's notation for graphical analysis. The key topics are the resolution of coplanar forces using various laws and methods.

Assignment no.2

This document contains 18 problems related to the equilibrium of rigid bodies and friction. It begins with definitions of key terms like equilibrium and equilibrant. It then discusses principles of equilibrium like Lami's theorem. The remaining problems involve calculating reactions and forces in systems with objects resting on surfaces or supported by other objects. They include spheres, cylinders, rollers and blocks on inclined planes and interacting with forces of friction. The document covers assessing and establishing equilibrium as well as determining coefficients of friction.

10. kinetics of particles newton s 2nd law

Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics

Engineering Mechanics Pdf

Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics

12. kinetics of particles impulse momentum method

Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes.
https://ekeeda.com/streamdetails/subject/Engineering-Mechanics

Assignment no 1

1. The document discusses problems related to resultant of coplanar forces including the law of parallelogram of forces, component law of forces, Varignon's theorem, and finding the resultant and its properties for various force systems.
2. It provides 17 figures showing different force systems and problems require calculating the resultant, its magnitude and direction, and in some cases locating its position.
3. The document also includes theory questions related to definitions of force, laws of mechanics, characteristics of couples, and calculating resultants of concurrent and non-concurrent forces.

13. kinematics of rigid bodies

This document discusses kinematics of rigid bodies, including:
- Types of rigid body motion such as translation, rotation about a fixed axis, and general plane motion.
- Translation motion is further divided into rectilinear and curvilinear types.
- Key terms related to rotation about a fixed axis like angular position, displacement, velocity, and acceleration.
- Relations between linear and angular velocity and acceleration.
- Two special cases involving rotation of pulleys - a pulley connected to a rotating block, and two coupled pulleys rotating without slip.
- Five sample problems calculating values like angular velocity and acceleration, revolutions, linear velocity and acceleration for rotating bodies.

Equilibrium

This document discusses the topic of equilibrium of rigid bodies. It covers:
- Analytical and graphical conditions for equilibrium of co-planar forces.
- Different types of beam supports like simple, pinned, roller, and fixed supports.
- Free body diagrams and their application in analyzing equilibrium and determining reactions.
- Lami's theorem which states that for three forces in equilibrium, each force is proportional to the sine of the angle between the other two forces.
- Examples of problems involving cylinders, pulleys, beams, and friction on inclined planes.

Applied mechanics

This document discusses the resolution of coplanar forces. It begins by introducing mechanics, its branches, and fundamental concepts like forces and moments. It then covers the classification of force systems, laws of mechanics including the parallelogram law, and the concept of a couple. Finally, it describes analytical and graphical methods for determining the resultant of a coplanar force system, including the parallelogram law, component method, and Bow's notation for graphical analysis. The key topics are the resolution of coplanar forces using various laws and methods.

Assignment no.2

This document contains 18 problems related to the equilibrium of rigid bodies and friction. It begins with definitions of key terms like equilibrium and equilibrant. It then discusses principles of equilibrium like Lami's theorem. The remaining problems involve calculating reactions and forces in systems with objects resting on surfaces or supported by other objects. They include spheres, cylinders, rollers and blocks on inclined planes and interacting with forces of friction. The document covers assessing and establishing equilibrium as well as determining coefficients of friction.

10. kinetics of particles newton s 2nd law

Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics

Engineering Mechanics PdfLearn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics

12. kinetics of particles impulse momentum method

Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes.
https://ekeeda.com/streamdetails/subject/Engineering-Mechanics

Assignment no 1

1. The document discusses problems related to resultant of coplanar forces including the law of parallelogram of forces, component law of forces, Varignon's theorem, and finding the resultant and its properties for various force systems.
2. It provides 17 figures showing different force systems and problems require calculating the resultant, its magnitude and direction, and in some cases locating its position.
3. The document also includes theory questions related to definitions of force, laws of mechanics, characteristics of couples, and calculating resultants of concurrent and non-concurrent forces.

13. kinematics of rigid bodies

This document discusses kinematics of rigid bodies, including:
- Types of rigid body motion such as translation, rotation about a fixed axis, and general plane motion.
- Translation motion is further divided into rectilinear and curvilinear types.
- Key terms related to rotation about a fixed axis like angular position, displacement, velocity, and acceleration.
- Relations between linear and angular velocity and acceleration.
- Two special cases involving rotation of pulleys - a pulley connected to a rotating block, and two coupled pulleys rotating without slip.
- Five sample problems calculating values like angular velocity and acceleration, revolutions, linear velocity and acceleration for rotating bodies.

Unit 3 mm9400 ver1.1(2014)

This document provides an overview of friction, including:
1) It defines friction as the resistance to motion when two surfaces are in contact, and introduces the concepts of static and kinetic friction. Charles-Augustin de Coulomb conducted experiments on friction and distinguished between static and kinetic friction.
2) Laws of friction include: friction opposes motion; friction is parallel to the contact surfaces; friction is independent of contact area; static friction is proportional to normal force; and kinetic friction is also proportional to normal force but is slightly less than static friction.
3) Coefficients of friction - the ratio of static friction to normal force is the coefficient of static friction, while the same ratio for kinetic friction is the

Unit 2 mm9400 ver 1.1(2014)

This document outlines the key concepts and objectives related to equilibrium conditions in statics, including:
- Defining forces and moments, and understanding them as vector quantities
- Resolving forces into components and determining the resultant force of concurrent and non-concurrent systems
- Calculating moments of individual forces and the resultant moment of multiple forces
- Understanding couples as systems with zero net force but nonzero moment
The document provides examples and practice problems for analyzing equilibrium through force components, resultants, moments, and couples.

9. kinematics of particlesLearn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics

Kinetics of particle

This document contains a presentation on Newton's second law of motion. The presentation topics include the relation between force, mass and acceleration, applications of Newton's second law, equations of motion, and an introduction to kinetics of particles. The document provides definitions and explanations of key concepts such as force, mass, acceleration, momentum, impulse, and kinetics. It also includes sample problems demonstrating applications of Newton's second law and equations of motion, along with step-by-step solutions. The presentation was made by Danyal Haider and Kamran Shah and covers fundamental principles of classical mechanics.

2 d equilibrium-split

The document discusses equilibrium of rigid bodies and provides examples of analyzing static equilibrium for two-dimensional structures. It defines key terms like rigid body, free body diagram, and reactions at supports. It also provides examples of determining tensions in cables and reactions at supports by drawing free body diagrams and using the equations of equilibrium. Sample problems are presented on finding tensions and reactions for systems with three applied forces acting on a rigid body.

Dynamics of particles , Enginnering mechanics , murugananthan

This document discusses particle dynamics and concepts such as displacement, velocity, acceleration, relative motion, Newton's second law of motion, linear momentum, angular momentum, and central forces. It provides definitions and equations for these concepts and includes 6 sample problems solving for quantities like acceleration, tension, velocity, and force using the principles of kinematics and dynamics.

Engineering Mechanics First Year

This document discusses concepts related to static equilibrium of rigid bodies, including:
- Conditions for static equilibrium are that the net force and net torque on the body are both zero
- Free body diagrams show all forces acting on a body in isolation from its surroundings
- Types of supports include hinges, rollers, fixed supports, and smooth surfaces
- Equilibrium of two-force and three-force bodies follow specific rules
- Lami's theorem relates the magnitudes of three concurrent forces in equilibrium
- An equilibrant force can balance an unbalanced system and bring it into equilibrium

Ch 5 Uniform Circular Motion

This document discusses uniform circular motion and related concepts like centripetal acceleration and centripetal force. It covers topics like how radius, speed and acceleration are related in uniform circular motion; the direction of velocity and acceleration vectors; forces that cause an object to travel in a circular path like friction or the normal force on a banked curve; and applications involving objects moving in horizontal and vertical circles like cars on curved roads. The document contains learning objectives, definitions, examples, questions and sections on key ideas like centripetal acceleration, centripetal force and banked curves.

Kinetics of a Particle : Force and Acceleration

Here are the key steps to solve this problem:
1) Draw a free body diagram of each block, showing all external forces.
2) Write the equation of motion for each block in the x and y directions: ΣFx = max, ΣFy = may
3) The tension in each cable will be the same. Substitute this into the equations of motion.
4) Solve the equations simultaneously to find the acceleration and tension.
The acceleration and tension can be determined by setting up and solving the simultaneous equations of motion for each block based on Newton's 2nd law. Friction and the coefficient of kinetic friction must be accounted for between block C and the horizontal surface.

008 newton's second law of motion

This document discusses kinetics, which is the study of how unbalanced forces affect motion. It explains Newton's three laws of motion, with a focus on Newton's second law, which relates force, mass, and acceleration. Formulas for force, weight, and the vector sum of forces acting on a particle are provided. Several example problems demonstrate how to apply these concepts to calculate accelerations, tensions, speeds, and distances given forces and masses.

PHYSICS CLASS XII Chapter 1 - Rotationall dynamics

1. The document discusses rotational dynamics and circular motion. It defines concepts like angular velocity, moment of inertia, centripetal force, and radius of gyration.
2. Examples of circular motion discussed include vehicles moving in circular tracks, wells of death, and vehicles on banked roads. The forces and equations of motion are analyzed.
3. Vertical circular motion under gravity is also examined, like a point mass attached to a string or rod moving in a vertical circle. Dynamics of a vehicle on a convex overbridge are also covered.
4. Moment of inertia is introduced as an analogous concept to mass for rotational motion. Formulas are given for moment of inertia of objects like rings, discs, and

11. kinetics of particles work energy method

The document provides information about work, kinetic energy, work energy principle, and conservation of energy. It defines key terms like work, kinetic energy, spring force, weight force, friction force, power, and efficiency. It explains:
- Work is the product of force and displacement in the direction of force. Work by various forces can be used to solve kinetics problems.
- Kinetic energy is the energy of motion and is defined as one-half mass times velocity squared.
- The work energy principle states that the total work done by forces on an object equals its change in kinetic energy.
- For conservative forces acting on a particle, the mechanical energy (sum of kinetic and potential energy) is

Resultant of forces

This document provides an overview of the content covered in the Basic Civil Engineering course. It discusses the following topics:
1. Mechanics of Rigid Bodies and Mechanics of Deformable Bodies, which make up Parts I and II of the course.
2. Concepts in mechanics of solids including resultant and equilibrium of coplanar forces, centroids, moments of inertia, kinetics principles, stresses and strains.
3. Five textbooks recommended as references for the course.
4. Definitions of terms like particle, force, scalar, vector, and rigid body.
5. Methods for resolving forces into components, obtaining the resultant of coplanar forces, and solving mechanics problems

Applied mechanics

The document provides an overview of mechanics and engineering mechanics. It discusses key topics including types of mechanics, units of measurement, fundamental concepts like forces and moments. It also summarizes various types of force systems and the laws and methods for analyzing coplanar forces, including the parallelogram law, Varignon's theorem, and analytical and graphical methods for determining the resultant of coplanar concurrent forces.

Chapter13 rigid body rotation

1) Moment of inertia is the rotational analog of mass and describes an object's resistance to changes in its rotation. It depends on the object's mass and how it is distributed.
2) Newton's second law of rotation states that the torque applied to an object produces angular acceleration proportional to the torque and inversely proportional to the object's moment of inertia.
3) The work-energy theorem states that the work done on an object equals its change in kinetic energy. This applies to both linear and rotational motion, with rotational kinetic energy depending on the moment of inertia and angular velocity.

Kinetics of particles

This document discusses the kinetics of particles and Newton's laws of motion. It explains that the two main factors affecting an object's motion are the forces acting on it and its mass. Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The equation F=ma expresses this relationship, where F is the net force, m is the mass, and a is the acceleration. The document also provides examples demonstrating applications of Newton's laws to problems involving blocks connected by cords and pulleys.

Ch3

The document discusses equilibrium of particles and coplanar force systems. It has the following key points:
1) It introduces concepts of equilibrium, free body diagrams, and equations of equilibrium (scalar and vector forms) for solving 2D and 3D static equilibrium problems.
2) Examples are provided to demonstrate drawing free body diagrams and using the equations of equilibrium to solve for unknown forces in 2D and 3D systems involving cables, pulleys, springs, and other mechanics elements.
3) Procedures are outlined for setting up and solving static equilibrium problems involving both 2D coplanar and 3D non-coplanar force systems.

Unit 5 mm9400 ver1.1(2014)

Newton's three laws of motion are introduced. The objectives are to understand how forces affect motion, state the three laws, know when each law applies, and apply Newton's second law of F=ma to problems involving linear motion and systems of connected bodies. Examples are provided to illustrate calculating acceleration, tension, tractive effort, and motion on inclined planes using the three laws of motion.

Step by step Engineering Mechanics updated

1. The document provides information on engineering mechanics concepts including trigonometric functions related to right triangles, angle and side relationships in triangles, centroids, moments of inertia, and torque.
2. Formulas are given for finding the centroid, moment of inertia, and polar moment of inertia through integration as well as the torque created by a force applied at a radius.
3. Key concepts discussed include equilibrium, center of gravity, centroid, moment of inertia, polar moment, couple, and instantaneous center. Diagrams illustrate these concepts and their applications.

Force & pressure (4)

1) Force is a push or pull that can change the motion, speed, or shape of an object. It is an interaction between two objects.
2) The effects of force include temporarily or permanently changing an object's shape, changing the direction or speed of motion, and stopping or starting motion.
3) Friction occurs when two surfaces contact each other and can slow motion, cause wear, and improve traction. It is influenced by factors like surface condition and weight.

Questions linear mo

This document contains a chapter on linear motion that provides sample problems and questions. It covers the following topics:
1) Type I problems involving calculating acceleration, retardation, distance and time from given velocity changes.
2) Type II problems on free fall motion and calculating heights and velocities of falling objects.
3) Type III problems involving calculating acceleration, velocities and distances using the motion of a car passing three poles.
4) Type IV problems calculating distance and acceleration from given time and distance relationships.
5) Type V problems involving motion with variable acceleration and calculating quantities from equations of motion.
6) Type VI problems involving drawing graphs of acceleration, velocity and displacement vs time for free fall motion

Unit 3 mm9400 ver1.1(2014)

This document provides an overview of friction, including:
1) It defines friction as the resistance to motion when two surfaces are in contact, and introduces the concepts of static and kinetic friction. Charles-Augustin de Coulomb conducted experiments on friction and distinguished between static and kinetic friction.
2) Laws of friction include: friction opposes motion; friction is parallel to the contact surfaces; friction is independent of contact area; static friction is proportional to normal force; and kinetic friction is also proportional to normal force but is slightly less than static friction.
3) Coefficients of friction - the ratio of static friction to normal force is the coefficient of static friction, while the same ratio for kinetic friction is the

Unit 2 mm9400 ver 1.1(2014)

This document outlines the key concepts and objectives related to equilibrium conditions in statics, including:
- Defining forces and moments, and understanding them as vector quantities
- Resolving forces into components and determining the resultant force of concurrent and non-concurrent systems
- Calculating moments of individual forces and the resultant moment of multiple forces
- Understanding couples as systems with zero net force but nonzero moment
The document provides examples and practice problems for analyzing equilibrium through force components, resultants, moments, and couples.

9. kinematics of particlesLearn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics

Kinetics of particle

This document contains a presentation on Newton's second law of motion. The presentation topics include the relation between force, mass and acceleration, applications of Newton's second law, equations of motion, and an introduction to kinetics of particles. The document provides definitions and explanations of key concepts such as force, mass, acceleration, momentum, impulse, and kinetics. It also includes sample problems demonstrating applications of Newton's second law and equations of motion, along with step-by-step solutions. The presentation was made by Danyal Haider and Kamran Shah and covers fundamental principles of classical mechanics.

2 d equilibrium-split

The document discusses equilibrium of rigid bodies and provides examples of analyzing static equilibrium for two-dimensional structures. It defines key terms like rigid body, free body diagram, and reactions at supports. It also provides examples of determining tensions in cables and reactions at supports by drawing free body diagrams and using the equations of equilibrium. Sample problems are presented on finding tensions and reactions for systems with three applied forces acting on a rigid body.

Dynamics of particles , Enginnering mechanics , murugananthan

This document discusses particle dynamics and concepts such as displacement, velocity, acceleration, relative motion, Newton's second law of motion, linear momentum, angular momentum, and central forces. It provides definitions and equations for these concepts and includes 6 sample problems solving for quantities like acceleration, tension, velocity, and force using the principles of kinematics and dynamics.

Engineering Mechanics First Year

This document discusses concepts related to static equilibrium of rigid bodies, including:
- Conditions for static equilibrium are that the net force and net torque on the body are both zero
- Free body diagrams show all forces acting on a body in isolation from its surroundings
- Types of supports include hinges, rollers, fixed supports, and smooth surfaces
- Equilibrium of two-force and three-force bodies follow specific rules
- Lami's theorem relates the magnitudes of three concurrent forces in equilibrium
- An equilibrant force can balance an unbalanced system and bring it into equilibrium

Ch 5 Uniform Circular Motion

This document discusses uniform circular motion and related concepts like centripetal acceleration and centripetal force. It covers topics like how radius, speed and acceleration are related in uniform circular motion; the direction of velocity and acceleration vectors; forces that cause an object to travel in a circular path like friction or the normal force on a banked curve; and applications involving objects moving in horizontal and vertical circles like cars on curved roads. The document contains learning objectives, definitions, examples, questions and sections on key ideas like centripetal acceleration, centripetal force and banked curves.

Kinetics of a Particle : Force and Acceleration

Here are the key steps to solve this problem:
1) Draw a free body diagram of each block, showing all external forces.
2) Write the equation of motion for each block in the x and y directions: ΣFx = max, ΣFy = may
3) The tension in each cable will be the same. Substitute this into the equations of motion.
4) Solve the equations simultaneously to find the acceleration and tension.
The acceleration and tension can be determined by setting up and solving the simultaneous equations of motion for each block based on Newton's 2nd law. Friction and the coefficient of kinetic friction must be accounted for between block C and the horizontal surface.

008 newton's second law of motion

This document discusses kinetics, which is the study of how unbalanced forces affect motion. It explains Newton's three laws of motion, with a focus on Newton's second law, which relates force, mass, and acceleration. Formulas for force, weight, and the vector sum of forces acting on a particle are provided. Several example problems demonstrate how to apply these concepts to calculate accelerations, tensions, speeds, and distances given forces and masses.

PHYSICS CLASS XII Chapter 1 - Rotationall dynamics

1. The document discusses rotational dynamics and circular motion. It defines concepts like angular velocity, moment of inertia, centripetal force, and radius of gyration.
2. Examples of circular motion discussed include vehicles moving in circular tracks, wells of death, and vehicles on banked roads. The forces and equations of motion are analyzed.
3. Vertical circular motion under gravity is also examined, like a point mass attached to a string or rod moving in a vertical circle. Dynamics of a vehicle on a convex overbridge are also covered.
4. Moment of inertia is introduced as an analogous concept to mass for rotational motion. Formulas are given for moment of inertia of objects like rings, discs, and

11. kinetics of particles work energy method

The document provides information about work, kinetic energy, work energy principle, and conservation of energy. It defines key terms like work, kinetic energy, spring force, weight force, friction force, power, and efficiency. It explains:
- Work is the product of force and displacement in the direction of force. Work by various forces can be used to solve kinetics problems.
- Kinetic energy is the energy of motion and is defined as one-half mass times velocity squared.
- The work energy principle states that the total work done by forces on an object equals its change in kinetic energy.
- For conservative forces acting on a particle, the mechanical energy (sum of kinetic and potential energy) is

Resultant of forces

This document provides an overview of the content covered in the Basic Civil Engineering course. It discusses the following topics:
1. Mechanics of Rigid Bodies and Mechanics of Deformable Bodies, which make up Parts I and II of the course.
2. Concepts in mechanics of solids including resultant and equilibrium of coplanar forces, centroids, moments of inertia, kinetics principles, stresses and strains.
3. Five textbooks recommended as references for the course.
4. Definitions of terms like particle, force, scalar, vector, and rigid body.
5. Methods for resolving forces into components, obtaining the resultant of coplanar forces, and solving mechanics problems

Applied mechanics

The document provides an overview of mechanics and engineering mechanics. It discusses key topics including types of mechanics, units of measurement, fundamental concepts like forces and moments. It also summarizes various types of force systems and the laws and methods for analyzing coplanar forces, including the parallelogram law, Varignon's theorem, and analytical and graphical methods for determining the resultant of coplanar concurrent forces.

Chapter13 rigid body rotation

1) Moment of inertia is the rotational analog of mass and describes an object's resistance to changes in its rotation. It depends on the object's mass and how it is distributed.
2) Newton's second law of rotation states that the torque applied to an object produces angular acceleration proportional to the torque and inversely proportional to the object's moment of inertia.
3) The work-energy theorem states that the work done on an object equals its change in kinetic energy. This applies to both linear and rotational motion, with rotational kinetic energy depending on the moment of inertia and angular velocity.

Kinetics of particles

This document discusses the kinetics of particles and Newton's laws of motion. It explains that the two main factors affecting an object's motion are the forces acting on it and its mass. Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The equation F=ma expresses this relationship, where F is the net force, m is the mass, and a is the acceleration. The document also provides examples demonstrating applications of Newton's laws to problems involving blocks connected by cords and pulleys.

Ch3

The document discusses equilibrium of particles and coplanar force systems. It has the following key points:
1) It introduces concepts of equilibrium, free body diagrams, and equations of equilibrium (scalar and vector forms) for solving 2D and 3D static equilibrium problems.
2) Examples are provided to demonstrate drawing free body diagrams and using the equations of equilibrium to solve for unknown forces in 2D and 3D systems involving cables, pulleys, springs, and other mechanics elements.
3) Procedures are outlined for setting up and solving static equilibrium problems involving both 2D coplanar and 3D non-coplanar force systems.

Unit 5 mm9400 ver1.1(2014)

Newton's three laws of motion are introduced. The objectives are to understand how forces affect motion, state the three laws, know when each law applies, and apply Newton's second law of F=ma to problems involving linear motion and systems of connected bodies. Examples are provided to illustrate calculating acceleration, tension, tractive effort, and motion on inclined planes using the three laws of motion.

Step by step Engineering Mechanics updated

1. The document provides information on engineering mechanics concepts including trigonometric functions related to right triangles, angle and side relationships in triangles, centroids, moments of inertia, and torque.
2. Formulas are given for finding the centroid, moment of inertia, and polar moment of inertia through integration as well as the torque created by a force applied at a radius.
3. Key concepts discussed include equilibrium, center of gravity, centroid, moment of inertia, polar moment, couple, and instantaneous center. Diagrams illustrate these concepts and their applications.

Unit 3 mm9400 ver1.1(2014)

Unit 3 mm9400 ver1.1(2014)

Unit 2 mm9400 ver 1.1(2014)

Unit 2 mm9400 ver 1.1(2014)

9. kinematics of particles

9. kinematics of particles

Kinetics of particle

Kinetics of particle

2 d equilibrium-split

2 d equilibrium-split

Dynamics of particles , Enginnering mechanics , murugananthan

Dynamics of particles , Enginnering mechanics , murugananthan

Engineering Mechanics First Year

Engineering Mechanics First Year

Ch 5 Uniform Circular Motion

Ch 5 Uniform Circular Motion

Kinetics of a Particle : Force and Acceleration

Kinetics of a Particle : Force and Acceleration

008 newton's second law of motion

008 newton's second law of motion

PHYSICS CLASS XII Chapter 1 - Rotationall dynamics

PHYSICS CLASS XII Chapter 1 - Rotationall dynamics

11. kinetics of particles work energy method

11. kinetics of particles work energy method

Resultant of forces

Resultant of forces

Applied mechanics

Applied mechanics

Chapter13 rigid body rotation

Chapter13 rigid body rotation

Kinetics of particles

Kinetics of particles

Ch3

Ch3

Kinematics of particles

Kinematics of particles

Unit 5 mm9400 ver1.1(2014)

Unit 5 mm9400 ver1.1(2014)

Step by step Engineering Mechanics updated

Step by step Engineering Mechanics updated

Force & pressure (4)

1) Force is a push or pull that can change the motion, speed, or shape of an object. It is an interaction between two objects.
2) The effects of force include temporarily or permanently changing an object's shape, changing the direction or speed of motion, and stopping or starting motion.
3) Friction occurs when two surfaces contact each other and can slow motion, cause wear, and improve traction. It is influenced by factors like surface condition and weight.

Questions linear mo

This document contains a chapter on linear motion that provides sample problems and questions. It covers the following topics:
1) Type I problems involving calculating acceleration, retardation, distance and time from given velocity changes.
2) Type II problems on free fall motion and calculating heights and velocities of falling objects.
3) Type III problems involving calculating acceleration, velocities and distances using the motion of a car passing three poles.
4) Type IV problems calculating distance and acceleration from given time and distance relationships.
5) Type V problems involving motion with variable acceleration and calculating quantities from equations of motion.
6) Type VI problems involving drawing graphs of acceleration, velocity and displacement vs time for free fall motion

Physics

1) Maxwell showed that a changing electric field generates a magnetic field, not just electric currents. This led to the concept of displacement current.
2) Maxwell formulated his equations which showed that changing electric and magnetic fields propagate as electromagnetic waves.
3) The speed of electromagnetic waves predicted by Maxwell's equations matched the measured speed of light, showing that light is an electromagnetic wave. This unified electricity, magnetism, and light.

Projectile Motion

The document discusses projectile motion and circular motion. It defines key terms related to projectile motion such as trajectory, angle of projection, horizontal range, time of flight, and velocity of projection. It then derives equations for the trajectory, time of flight, horizontal range, maximum height, and velocity at impact of a projectile. Examples and problems are provided to demonstrate the application of these equations.

Dissertation report

This document presents the layout and introduction for a dissertation report on analyzing multi-storey partially braced frames subjected to seismic and gravity loads using V-braces. The layout includes sections on introduction, literature review, structural analysis methods, earthquake analysis methods, theoretical formulation, results and discussion, conclusion, and references. The introduction discusses the importance of tall structures and braced frames, noting advantages of braced frames include increased strength, stiffness, and reduced member sizes.

ABC Of Project Management

This document provides an overview of project management. It discusses that projects are needed to generate profits for businesses, as profits come from operations which give birth to projects. However, only 34% of projects succeed currently. The document then outlines the basic project life cycle of initiation, planning, execution, controlling, and closing phases. It provides some ABCs of project management, emphasizing always properly defining the project, ensuring stakeholder identification, being aware of constraints and knowledge areas, and cultivating good project management habits and processes within an organization to improve success rates. The overall message is that projects can only succeed by being properly managed to meet defined objectives and baselines.

Assignment no. 5

This document provides instructions for 5 problems calculating the center of gravity for different cross-sectional shapes, and 3 problems calculating the moment of inertia for various lamina. The shapes include a T-section, symmetrical I-section, I-section, L-section, and a rectangular lamina with a hole cut out. Axes of calculation are specified as passing through the center of gravity or being parallel to bases.

Chaper wise qpapers_bce

1. The document contains a question bank for the Basic Civil Engineering section covering topics like introduction to civil engineering, surveying, linear measurements, bearing, and leveling.
2. It includes 36 questions on surveying topics like chain surveying, compass surveying, and leveling with multiple parts and variations. Calculations and sketches are required to solve some questions.
3. The leveling questions provide staff readings and require entering data in a standard leveling table, calculating reduced levels using different methods, and applying arithmetic checks.

Chapter no. 6 linear mo

This document discusses linear motion and its related concepts. It defines kinematics as the study of motion without consideration of forces, and kinetics as the study of motion with consideration of forces. It then discusses various types of linear motion including rectilinear motion, motion under gravity, and motion under variable acceleration. Key concepts defined include displacement, velocity, acceleration, uniform motion, and graphical representation of motion using displacement-time and velocity-time curves. Equations of motion are provided for rectilinear motion and motion under gravity with uniform acceleration.

2. linear kinematics i

1. Linear kinematics describes motion using position, velocity, and acceleration without regard to forces. It includes linear (straight line) and curvilinear (bent line) motion.
2. Angular kinematics describes rotational motion like elbow flexion or spinning.
3. General motion combines translation and rotation, describing most human and sports motions.
4. Key descriptors include position, distance/displacement, speed/velocity, and acceleration. Displacement is the straight-line distance between start and end points while distance is the total path length. Velocity describes speed with direction and acceleration is the rate of change of velocity.

Chapter 2 beam

This chapter discusses beams and support reactions. It defines statically determinate beams and describes the following topics: types of beam supports including simple, pin/hinged, roller, and fixed supports; types of beams such as simply supported, cantilever, overhang, and continuous beams; types of loading including concentrated/point loads and distributed loads such as uniform, uniformly varying, and non-uniform loads; and the procedure to find support reactions of statically determinate beams using equilibrium conditions. It also discusses compound beams and the concept of virtual work.

Centre of Gravity

1) The document discusses concepts related to centroid and moment of inertia including: the centroid is the point where the total area of a plane figure is assumed to be concentrated; formulas are provided for finding the centroid of basic shapes; the difference between centroid and center of gravity is explained; properties and methods for finding the centroid are described such as using moments.
2) Formulas are given for moment of inertia including how it is calculated about different axes and the parallel axis theorem.
3) Example problems are provided to demonstrate calculating the centroid and moment of inertia for various shapes.

Water Management

This document provides information about water management topics including sources of water, dams, canals, and irrigation methods. It discusses surface and underground water sources like ponds, lakes, rivers, wells, and tube wells. It describes different types of dams such as earth dams, rock-fill dams, gravity dams, and arch dams. Canals are described as the trenches that distribute water from reservoirs for irrigation. Various irrigation methods are outlined including flow irrigation, flood irrigation, storage irrigation, drip irrigation, and spray irrigation. Rainwater harvesting is introduced as a way to conserve water by collecting and filtering rainwater runoff and roof runoff to recharge underground water sources.

Lahaja za kiswahili kwa ujumla

Lahaja za Kiswahili zimekuwa zikichanganya watumiaji wengi na watu wengi wanaojifunza lugha ya Kiswahili, hivyo matini hii imekusudia kuondoa mkanganyiko huo.

Assignment no 3

This document contains 18 problems related to calculating beam support reactions using concepts like types of beam supports, virtual work, simply supported beams, overhanging beams, cantilever beams, beam bents, and compound beams. The problems include calculating support reactions for various beams under different loading conditions like point loads, uniformly distributed loads, and concentrated moments. Solutions are provided for some of the problems.

Chapter 2 friction

This document discusses friction, including the limiting force of friction, coefficient of friction, angle of friction, and angle of repose. It defines static and dynamic friction, with dynamic friction further divided into sliding and rolling friction. The laws of static and kinetic friction are also outlined. Several example problems are provided to calculate values like the coefficient of friction given information about the applied forces and weights of objects on horizontal or inclined planes.

D alemberts principle

D'Alembert's Principle states that the resultant of all external forces and inertia forces acting on a body is zero for the body to be in dynamic equilibrium. Inertia forces are represented as minus mass times acceleration. The principle allows equations of static equilibrium to be applied to bodies undergoing translational motion by considering an imaginary inertia force equal and opposite to actual inertia. Several example problems are provided applying the principle to analyze motion of connected bodies over pulleys, motion on inclined planes, and motion within elevators.

Assignment no. 4

This document contains an assignment on analyzing forces in truss structures using the method of joints and method of sections. It provides 10 problems analyzing different truss configurations, requesting the forces in specific members given load and support conditions. The problems include trusses with various spans, loads, and support types, including cantilever trusses.

02 - Structure and Properties of Organic Molecules - Wade 7th

The document summarizes key concepts from Chapter 2 of an organic chemistry textbook, including:
1) Molecular orbital theory and how atomic orbitals combine to form sigma and pi bonds via hybridization. Common hybridizations include sp, sp2, and sp3.
2) Molecular shapes are determined by hybridization and VSEPR theory. Common geometries are linear, trigonal planar, and tetrahedral.
3) Intermolecular forces like hydrogen bonding, dipole-dipole interactions, and London dispersion forces influence physical properties like boiling points and solubility.
4) Isomerism can occur via constitutional isomers with different bonding connectivities or geometric isomers with different spatial arrangements.

Force & pressure (4)

Force & pressure (4)

Questions linear mo

Questions linear mo

Physics

Physics

Projectile Motion

Projectile Motion

Dissertation report

Dissertation report

ABC Of Project Management

ABC Of Project Management

Assignment no. 5

Assignment no. 5

Chaper wise qpapers_bce

Chaper wise qpapers_bce

Chapter no. 6 linear mo

Chapter no. 6 linear mo

2. linear kinematics i

2. linear kinematics i

Chapter 2 beam

Chapter 2 beam

Centre of Gravity

Centre of Gravity

Water Management

Water Management

Lahaja za kiswahili kwa ujumla

Lahaja za kiswahili kwa ujumla

Assignment no 3

Assignment no 3

Chapter 2 friction

Chapter 2 friction

Mofolojia ya kiswahili

Mofolojia ya kiswahili

D alemberts principle

D alemberts principle

Assignment no. 4

Assignment no. 4

02 - Structure and Properties of Organic Molecules - Wade 7th

02 - Structure and Properties of Organic Molecules - Wade 7th

work energy theorem and kinetic energy

Karen Adelan presented on the topic of classical mechanics and energy. Some key points:
- Energy is a conserved quantity that can change forms but is never created or destroyed. It is useful for describing motion when Newton's laws are difficult to apply.
- Kinetic energy is the energy of motion and depends on an object's mass and speed. The work-kinetic energy theorem states that the net work done on an object equals the change in its kinetic energy.
- Potential energy is the energy an object possesses due to its position or state. The work done by a constant force equals the product of force, displacement, and the cosine of the angle between them.

Chapter 5 notes

This document outlines objectives and concepts related to work, power, and energy. It defines work as the product of force and displacement when they are in the same direction. It introduces kinetic energy and potential energy, and discusses how the conservation of mechanical energy applies to situations where energy is transferred between kinetic and potential forms. Power is defined as the rate at which work is done. Examples are provided to demonstrate calculations of work, kinetic energy, potential energy, and power.

Chapter 6 Work And Energy

Work is done when a force causes an object to be displaced. Work (W) is equal to force (F) multiplied by displacement (s). Work units are joules. Potential energy is stored energy due to an object's position or state. Kinetic energy is the energy of motion and depends on an object's mass and velocity. Power is the rate at which work is done or energy is converted and is measured in watts. Conservation of energy states that energy cannot be created or destroyed, only changed from one form to another.

T - Work, Power & Energy

Work is defined as the product of the force applied and the distance moved in the direction of the force. Positive work is when movement is in the direction of the force, and negative when against it. Power is the rate at which work is done, defined as work divided by time. There are two types of mechanical energy: kinetic energy, which is the energy from motion; and potential energy, which is the energy from height or stored energy. The law of conservation of energy states that energy cannot be created or destroyed, only changed from one form to another.

02 UNIT-2 (WORK & ENERGY) .pptx

The document summarizes key concepts about work and energy:
- Work is the product of the force component in the direction of displacement and the displacement distance. It can be positive, zero, or negative depending on the angle between the force and displacement vectors.
- Energy is the ability to do work and exists in various forms including mechanical, electrical, chemical, and others. Mechanical energy includes kinetic energy and potential energy.
- The work-energy principle states that work done on an object equals its change in kinetic energy. This allows calculating work from changes in speed or kinetic energy.

Third ppt

The document discusses concepts related to work, energy and power in physics. It defines work as the product of force and displacement. Kinetic energy is defined as the energy an object possesses due to its motion. The law of conservation of energy states that energy cannot be created or destroyed, only transferred or changed from one form to another. Thermal energy is the energy contained within a system that is responsible for its temperature and is produced from friction. Power is defined as the rate of doing work or using energy and is measured in watts. Several examples of calculations related to work, energy and power are also presented.

Work,Energy and Power

The roller coaster The Ninja has a height of 122 ft and speed of 52 mph. Its potential energy due to height changes into kinetic energy of motion. Work is done by a force when that force causes an object to move in the direction of the force. The kinetic energy of an object is 1/2mv^2. The potential energy due to gravity is mgh. The work-energy theorem states that the work done on an object is equal to its change in kinetic energy.

Energy

The document discusses the concepts of mass, weight, potential energy, kinetic energy, and their relationships. It provides examples of calculating potential energy using the formula PE=mgh, kinetic energy using the formula KE=1/2mv^2, and shows that the total mechanical energy of a system remains constant. It then works through an example of calculating the maximum speed of a person on a slingshot pendulum.

WEEK_7_WORKPOWER_AND_ENERGY_PPT.pptx

Work is the amount of energy transferred by a force acting on an object through a distance in the direction of the force. For work to be done, there must be a force acting on an object, the object must be displaced some distance, and the force must be parallel to the displacement. Power is the rate at which work is done, or the amount of work done per unit of time. Energy is the ability to do work and exists in various forms, including kinetic energy from motion and potential energy from position or stress. The document provides examples of calculating work, power, kinetic energy, potential energy, elastic potential energy, momentum, and impulse based on given values.

2 work energy power to properties of liquids

1) Work is done when a force causes an object to be displaced. It is defined as the product of the force and displacement in the direction of the force. Work is a scalar quantity measured in joules.
2) Energy is the ability to do work and exists in kinetic and potential forms. Kinetic energy is the energy of motion and potential energy is stored energy due to an object's position or state.
3) According to the work-energy theorem, the work done on an object equals its change in kinetic energy. For a variable force, the work is calculated as the area under the force-displacement graph.

2 work energy power to properties of liquids

Work is done when a force causes an object to be displaced. Work is defined as the product of the force and displacement in the direction of the force. Kinetic energy is the energy an object possesses due to its motion. Potential energy is the energy an object possesses due to its position or state. The law of conservation of energy states that energy cannot be created or destroyed, only changed from one form to another. Elastic collisions are collisions where both momentum and kinetic energy are conserved, while inelastic collisions conserve momentum but not kinetic energy.

Work, energy & power physics

This document covers concepts related to work, energy, and power. It begins by defining work as the mechanical transfer of energy due to external forces, and is equal to the product of the force and the displacement in the direction of the force. Various examples are provided to illustrate situations where work is and isn't being done. The relationship between work and energy transfer is explained. Kinetic and potential energy are introduced, and analogies are provided. Methods for calculating work, energy, and power are demonstrated through examples.

Work and Energy in Physics

This document provides information about work, energy, and the different types of energy. It begins with definitions of work and discusses how work is calculated based on force and distance. It then defines different types of energy including kinetic energy, potential energy, heat energy, chemical energy, electromagnetic energy, and nuclear energy. Examples are provided to demonstrate how to calculate work, kinetic energy, and potential energy. The last sections discuss conservative and non-conservative forces and how the law of conservation of energy applies.

Every Equation

The document discusses key physics concepts related to motion, forces, energy, and electricity. It defines terms like speed, velocity, acceleration, force, work, power, kinetic energy, potential energy, current, voltage, and resistance. Formulas are provided for calculating these values along with example problems and explanations of physics principles.

Kinetics of particles newton's 2nd law

Ekeeda Provides Online Video Lectures for Civil Engineering Degree Subject Courses for All Engineering Universities. Visit us: https://ekeeda.com/streamdetails/stream/civil-engineering

Work power-energy

With this mantra success is sure to come your way. At APEX INSTITUTE we strive our best to realize the Alchemist's dream of turning 'base metal' into 'gold'.

Work energy-power

The document discusses different types of work including work against inertia when accelerating an object, work against gravity when lifting an object, and work against friction. It provides examples such as throwing a ball or pushing a box and explains concepts such as mechanical energy, the work-energy theorem, and conservative versus non-conservative forces. Formulas are given for work as well as the definition of joules as the SI unit of energy.

Work-energy-and-power PHYSICS SCIENCE BSIT

This document discusses work, energy, and power. It defines work as a force causing an object to be displaced. The work-energy theorem states that work done on an object changes its kinetic energy. Potential energy is the energy an object has due to its position or state. There are different types of potential energy including gravitational potential energy and elastic potential energy. Power is defined as the rate at which work is done or energy is transferred. It can be calculated by dividing work by time.

Ch 6 Work & Energy

This document provides an overview of key concepts in work, energy, and power. It defines work and explains how to calculate work done by constant and variable forces. It introduces the concepts of kinetic and potential energy, and establishes the work-energy theorem. It distinguishes between conservative and non-conservative forces, and explains how the conservation of mechanical energy applies or does not apply in different situations. It also defines power and provides examples of calculating power.

Work & Energy

Explain work, energy and power. The Law of Conservation of Energy is utilized as well as conservative and non conservative systems.
**More good stuff available at:
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work energy theorem and kinetic energy

work energy theorem and kinetic energy

Chapter 5 notes

Chapter 5 notes

Chapter 6 Work And Energy

Chapter 6 Work And Energy

T - Work, Power & Energy

T - Work, Power & Energy

02 UNIT-2 (WORK & ENERGY) .pptx

02 UNIT-2 (WORK & ENERGY) .pptx

Third ppt

Third ppt

Work,Energy and Power

Work,Energy and Power

Energy

Energy

WEEK_7_WORKPOWER_AND_ENERGY_PPT.pptx

WEEK_7_WORKPOWER_AND_ENERGY_PPT.pptx

2 work energy power to properties of liquids

2 work energy power to properties of liquids

2 work energy power to properties of liquids

2 work energy power to properties of liquids

Work, energy & power physics

Work, energy & power physics

Work and Energy in Physics

Work and Energy in Physics

Every Equation

Every Equation

Kinetics of particles newton's 2nd law

Kinetics of particles newton's 2nd law

Work power-energy

Work power-energy

Work energy-power

Work energy-power

Work-energy-and-power PHYSICS SCIENCE BSIT

Work-energy-and-power PHYSICS SCIENCE BSIT

Ch 6 Work & Energy

Ch 6 Work & Energy

Work & Energy

Work & Energy

Transportation engineering

This document provides an overview of transportation engineering and related topics through a presentation. It begins with an introduction to various modes of transportation including roads, bridges, railways, airports, docks and harbors. It then provides a question bank with sample questions on these topics from previous years. The document concludes by providing detailed answers to some of the sample questions, covering areas like classifications of roads and transportation, structures of roads, and short notes on specific road types.

Chapter wise question papers_bce

This document contains a question bank for the Basic Civil Engineering subject divided into 9 units. Each unit contains 6 questions related to topics within that unit. The questions range from 3-10 marks and cover topics such as sub-branches of civil engineering, surveying, remote sensing, dams, roads, building construction principles, materials, and steel structures. This question bank can be used to prepare for exams on basic civil engineering concepts and their applications.

Design of staircase_practical_example

The document provides design details for staircases on three floors of a building, including dimensions, load calculations, and reinforcement details. Load calculations are performed to determine bending moments and shear forces. Reinforcement area, bar diameter, and spacing are calculated for the waist slabs of each staircase to resist the determined bending moment and satisfy code requirements for minimum steel and shear capacity.

Presentation "Use of coupler Splices for Reinforcement"

This document presents a summary of a presentation on the use of coupler splices for reinforcement. The presentation includes an introduction to coupler splices, a literature review on the topic, details on the experimental procedure used to test coupler splices, a cost analysis comparing coupler splices to lap splices, and conclusions. The experimental results show that coupler splices performed better than lap splices and welded splices in tensile loading tests. A cost analysis also determined that coupler splices provide significant cost savings over lap splices by reducing the amount of reinforcement required. The conclusion is that coupler splices are an effective and economic replacement for lap splices in reinforcement.

Guidelines_for_building_design

This document provides guidelines for the design of reinforced concrete structures in buildings according to the limit state method. It outlines the general process for building design which includes studying architectural drawings and field data, preparing reinforced concrete layouts, analyzing structural frames, and designing columns, beams, slabs, and footings. Computer programs like STAAD and in-house software are used to aid in analysis and design. Designers are advised to be familiar with relevant Indian code provisions and follow the guidelines to independently complete reinforced concrete designs for buildings.

Strength of materials_I

This document provides an introduction to strength of materials, including concepts of stress, strain, Hooke's law, stress-strain relationships, elastic constants, and factors of safety. It defines key terms like stress, strain, elastic limit, modulus of elasticity, and ductile and brittle material behavior. Examples of stress and strain calculations are provided for basic structural elements like rods, bars, and composite structures. The document also covers compound bars, principle of superposition, and effects of temperature changes.

Presentation_on_Cellwise_Braced_frames

This presentation discusses the seismic response of cellwise concentrically braced frames. It introduces cellwise braced frames as a structural system that provides lateral stability through bracing elements arranged in cells within each bay. The document describes a study that analyzed 5 bay, 12 story reinforced concrete frames with different bracing configurations, including single-cell, two-cell, and three-cell arrangements. The study found that single-cell A-braced frames provided the highest material cost savings of up to 9.59% compared to bare frames. Two-cell and three-cell configurations further improved cost savings but required additional bracing. Overall, the study shows that optimally arranged cellwise braced frames produce a stiff, strong and econom

Study of MORT_&_H

The document provides an overview of the Ministry of Road Transport and Highways (MoRTH) in India. It discusses the ministry's role in formulating policies and regulations related to road transport. It outlines the ministry's history and organizational structure. It also summarizes some of the key specifications issued by MoRTH related to road and bridge construction, including specifications for earthworks, pavement layers, drainage, and other aspects of road projects. The document thus provides a high-level introduction to MoRTH and the specifications it issues for road development and transport in India.

List of various_IRCs_&_sps

The Indian Road Congress (IRC) was established in 1934 on the recommendations of the Jayakar Committee to oversee road development in India. It is the apex body for highway engineers and professionals. IRC has over 16,700 members from both public and private sector organizations involved in roads. It aims to promote standard specifications and best practices for road and bridge construction through various technical committees. It has published over 100 codes of practice and guidelines and oversees research activities through its Highway Research Board.

Analysis of multi storey building frames subjected to gravity and seismic loa...

This document summarizes a study on the seismic response of reinforced concrete frames with varying numbers of bays and storeys. Three frame configurations - 3 bay, 5 bay, and 7 bay with 9 stories each - were modeled and analyzed under gravity and seismic loads. Both prismatic frames and frames with non-prismatic elements like stepped beams and haunches at beam-column joints were considered. The effects of variables like haunch size, beam inertia, and live load patterns on internal forces and storey drift were examined. Key results showed that non-prismatic elements can reduce bending moments and axial forces compared to conventional prismatic frames.

Seismic response of _reinforced_concrete_concentrically_a_braced_frames

This document discusses the seismic response of reinforced concrete concentrically braced frames. It analyzes numerically various bracing patterns for a 5-bay 12-story building, including bare frames, fully braced frames, and partially braced frames with bracing applied at the bay-level or level-wise. Optimum bracing patterns are identified that reduce internal forces in columns and provide economic savings compared to bare frames or fully braced frames. Graphs show variations in axial, shear and bending forces for different bracing patterns, identifying patterns that fall within acceptable ranges. Savings of up to 7.87% are achieved with the optimum bracing patterns.

Use of mechanical_splices_for_reinforcing_steel

The document discusses the use of mechanical splices (couplers) as an alternative to traditional lap splicing for reinforcing steel. It provides details on different types of couplers, including threaded couplers. Experimental testing showed that couplers achieved similar or higher yield and ultimate stresses as compared to normal and welded reinforcing bars. While ductility was slightly reduced, factors like epoxy injection and staggered splicing can improve ductility. A cost analysis found that couplers provide significant cost savings over lap splices due to reduced steel requirements. Therefore, the study concludes that mechanical splices are an effective and economic replacement for lap splices.

Guide lines bridge_design

This document provides guidelines for bridge design in the Public Works Department. It introduces the contents and chapters, which cover aspects of bridge design, components, innovative structures, preparation of bridge projects, and other topics. The guidelines are intended to help engineers understand the department's practices for bridge design. The second edition was revised with new chapters and information to aid both new and experienced engineers.

Seismic response of cellwise braced reinforced concrete frames

The document analyzes the seismic response of reinforced concrete frames with different patterns of reinforced concrete bracing. Numerical models of 5-bay, 12-story reinforced concrete frames were analyzed with different bracing configurations including bare frames, fully braced, partially braced, outrigger braced, and cellwise braced. The responses, including internal forces, displacements, and member sizes, were compared for each configuration. Optimal baywise and levelwise locations for bracing were identified based on producing smaller internal forces within acceptable ranges. Cellwise bracing was explored as a configuration that combines advantages of other patterns while allowing for clear openings.

Basic Loads Cases

The document defines various types of loads that should be considered in structural analysis, including dead loads, live loads, wind loads, and earthquake loads. It provides details on how to apply these loads in both positive and negative directions of the X and Z axes. It also lists load combinations that should be analyzed according to Indian standards, including combinations for limit states of collapse and serviceability. The load combinations include factors for dead, live, wind, and earthquake loads.

Earthquake analysis by Response Spectrum Method

This document provides steps for performing an earthquake analysis using the response spectrum method in STAAD v8i. Key steps include:
1. Generating primary load cases for the X and Z directions using the specified code spectrum
2. Modeling dead and live loads
3. Obtaining support reactions for a load combination of dead + 0.25 live loads
4. Exporting the support reaction values to Excel tables
5. Importing the Excel tables back into STAAD as joint loads to apply the earthquake loads
6. Analyzing the structure with fixed supports instead of pin supports
The overall process applies earthquake loads to the structure using the response spectrum method and obtains the response of the structure under seismic loading

Earthquake analysis by psudeo static method

This document provides instructions for performing an earthquake analysis on a structure using the pseudo-static method in STAAD v8i. The steps include:
1. Defining the seismic parameters by adding a seismic definition and inputting values for the zone, response factor, importance factor, etc. based on IS 1893:2002.
2. Creating earthquake load cases in the X and Z directions and combining them with dead and live loads.
3. Assigning pin supports and obtaining support reactions for analysis.
4. Importing the support reaction values into Excel to create weight tables that are then input back into STAAD.
5. Removing the pin supports and assigning fixed supports at the foundation before running the full analysis

Basic Civil Engineering MCQ

The document contains a 58 question multiple choice test on basic civil engineering. The test covers topics such as surveying, building construction materials and techniques, structures, and other basic civil engineering concepts. The questions assess knowledge of concepts like types of surveying, building components, properties of materials like concrete and masonry, earthquake resistance techniques, and more.

PROBLEMS ON BEARINGS

1. The document provides examples of problems involving bearings observed in closed traverse surveys. It discusses calculating included angles, checking for angular errors, and correcting bearings based on lines assumed to be free from local attraction effects.
2. The first example shows calculations for a traverse with station positions, observed fore and back bearings, differences between bearings, included angles, and corrected bearings and stations free from attraction.
3. Several multi-part problems are presented involving calculating included angles from observed bearings, checking for errors, correcting bearings, and identifying stations free from local attraction for closed traverses. Step-by-step working is demonstrated for one example.

SURVEYING

This document contains 21 multi-part surveying problems involving calculating true distances and areas from measurements taken using chains of various lengths that may have been inaccurate. The problems require applying formulas to account for errors in the chains and scaling of maps in order to determine the true values sought, such as distances between points or areas of land parcels.

Transportation engineering

Transportation engineering

Chapter wise question papers_bce

Chapter wise question papers_bce

Design of staircase_practical_example

Design of staircase_practical_example

Presentation "Use of coupler Splices for Reinforcement"

Presentation "Use of coupler Splices for Reinforcement"

Guidelines_for_building_design

Guidelines_for_building_design

Strength of materials_I

Strength of materials_I

Presentation_on_Cellwise_Braced_frames

Presentation_on_Cellwise_Braced_frames

Study of MORT_&_H

Study of MORT_&_H

List of various_IRCs_&_sps

List of various_IRCs_&_sps

Analysis of multi storey building frames subjected to gravity and seismic loa...

Analysis of multi storey building frames subjected to gravity and seismic loa...

Seismic response of _reinforced_concrete_concentrically_a_braced_frames

Seismic response of _reinforced_concrete_concentrically_a_braced_frames

Use of mechanical_splices_for_reinforcing_steel

Use of mechanical_splices_for_reinforcing_steel

Guide lines bridge_design

Guide lines bridge_design

Seismic response of cellwise braced reinforced concrete frames

Seismic response of cellwise braced reinforced concrete frames

Basic Loads Cases

Basic Loads Cases

Earthquake analysis by Response Spectrum Method

Earthquake analysis by Response Spectrum Method

Earthquake analysis by psudeo static method

Earthquake analysis by psudeo static method

Basic Civil Engineering MCQ

Basic Civil Engineering MCQ

PROBLEMS ON BEARINGS

PROBLEMS ON BEARINGS

SURVEYING

SURVEYING

Mechanical Engineering on AAI Summer Training Report-003.pdf

Mechanical Engineering PROJECT REPORT ON SUMMER VOCATIONAL TRAINING
AT MBB AIRPORT

P5 Working Drawings.pdf floor plan, civil

Various architectural drawings presentation

Assistant Engineer (Chemical) Interview Questions.pdf

These are interview questions for the post of Assistant Engineer (Chemical)

Determination of Equivalent Circuit parameters and performance characteristic...

Includes the testing of induction motor to draw the circle diagram of induction motor with step wise procedure and calculation for the same. Also explains the working and application of Induction generator

This study Examines the Effectiveness of Talent Procurement through the Imple...

In the world with high technology and fast
forward mindset recruiters are walking/showing interest
towards E-Recruitment. Present most of the HRs of
many companies are choosing E-Recruitment as the best
choice for recruitment. E-Recruitment is being done
through many online platforms like Linkedin, Naukri,
Instagram , Facebook etc. Now with high technology E-
Recruitment has gone through next level by using
Artificial Intelligence too.
Key Words : Talent Management, Talent Acquisition , E-
Recruitment , Artificial Intelligence Introduction
Effectiveness of Talent Acquisition through E-
Recruitment in this topic we will discuss about 4important
and interlinked topics which are

Digital Twins Computer Networking Paper Presentation.pptx

A Digital Twin in computer networking is a virtual representation of a physical network, used to simulate, analyze, and optimize network performance and reliability. It leverages real-time data to enhance network management, predict issues, and improve decision-making processes.

An Introduction to the Compiler Designss

compiler material

Prediction of Electrical Energy Efficiency Using Information on Consumer's Ac...

Energy efficiency has been important since the latter part of the last century. The main object of this survey is to determine the energy efficiency knowledge among consumers. Two separate districts in Bangladesh are selected to conduct the survey on households and showrooms about the energy and seller also. The survey uses the data to find some regression equations from which it is easy to predict energy efficiency knowledge. The data is analyzed and calculated based on five important criteria. The initial target was to find some factors that help predict a person's energy efficiency knowledge. From the survey, it is found that the energy efficiency awareness among the people of our country is very low. Relationships between household energy use behaviors are estimated using a unique dataset of about 40 households and 20 showrooms in Bangladesh's Chapainawabganj and Bagerhat districts. Knowledge of energy consumption and energy efficiency technology options is found to be associated with household use of energy conservation practices. Household characteristics also influence household energy use behavior. Younger household cohorts are more likely to adopt energy-efficient technologies and energy conservation practices and place primary importance on energy saving for environmental reasons. Education also influences attitudes toward energy conservation in Bangladesh. Low-education households indicate they primarily save electricity for the environment while high-education households indicate they are motivated by environmental concerns.

SCALING OF MOS CIRCUITS m .pptx

this ppt explains about scaling parameters of the mosfet it is basically vlsi subject

smart pill dispenser is designed to improve medication adherence and safety f...

Smart Pill Dispenser that boosts medication adherence, empowers patients, enables remote monitoring, enhances safety, reduces healthcare costs, and contributes to data-driven healthcare improvements

一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理

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二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
办理(osu毕业证书)美国俄勒冈州立大学毕业证【微信：741003700 】外观非常简单，由纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理(osu毕业证书)美国俄勒冈州立大学毕业证【微信：741003700 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理(osu毕业证书)美国俄勒冈州立大学毕业证【微信：741003700 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理(osu毕业证书)美国俄勒冈州立大学毕业证【微信：741003700 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。

一比一原版(USF毕业证)旧金山大学毕业证如何办理

原件一模一样【微信：95270640】【旧金山大学毕业证USF学位证成绩单】【微信：95270640】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：95270640】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：95270640】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：95270640】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理旧金山大学毕业证毕业证学位证USF学位证【微信：95270640 】外观非常精致，由特殊纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理旧金山大学毕业证USF学位证毕业证学位证【微信：95270640 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理旧金山大学毕业证毕业证学位证USF学位证【微信：95270640 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理旧金山大学毕业证毕业证学位证USF学位证【微信：95270640 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。

Generative AI Use cases applications solutions and implementation.pdf

Generative AI solutions encompass a range of capabilities from content creation to complex problem-solving across industries. Implementing generative AI involves identifying specific business needs, developing tailored AI models using techniques like GANs and VAEs, and integrating these models into existing workflows. Data quality and continuous model refinement are crucial for effective implementation. Businesses must also consider ethical implications and ensure transparency in AI decision-making. Generative AI's implementation aims to enhance efficiency, creativity, and innovation by leveraging autonomous generation and sophisticated learning algorithms to meet diverse business challenges.
https://www.leewayhertz.com/generative-ai-use-cases-and-applications/

Introduction to Computer Networks & OSI MODEL.ppt

Introduction to Computer Networks

FULL STACK PROGRAMMING - Both Front End and Back End

This ppt gives details about Full Stack Programming and its basics.

Accident detection system project report.pdf

The Rapid growth of technology and infrastructure has made our lives easier. The
advent of technology has also increased the traffic hazards and the road accidents take place
frequently which causes huge loss of life and property because of the poor emergency facilities.
Many lives could have been saved if emergency service could get accident information and
reach in time. Our project will provide an optimum solution to this draw back. A piezo electric
sensor can be used as a crash or rollover detector of the vehicle during and after a crash. With
signals from a piezo electric sensor, a severe accident can be recognized. According to this
project when a vehicle meets with an accident immediately piezo electric sensor will detect the
signal or if a car rolls over. Then with the help of GSM module and GPS module, the location
will be sent to the emergency contact. Then after conforming the location necessary action will
be taken. If the person meets with a small accident or if there is no serious threat to anyone’s
life, then the alert message can be terminated by the driver by a switch provided in order to
avoid wasting the valuable time of the medical rescue team.

一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理

CalArts毕业证学历书【微信95270640】CalArts毕业证’圣力嘉学院毕业证《Q微信95270640》办理CalArts毕业证√文凭学历制作{CalArts文凭}购买学历学位证书本科硕士,CalArts毕业证学历学位证【实体公司】办毕业证、成绩单、学历认证、学位证、文凭认证、办留信网认证、（网上可查，实体公司，专业可靠）
(诚招代理)办理国外高校毕业证成绩单文凭学位证,真实使馆公证（留学回国人员证明）真实留信网认证国外学历学位认证雅思代考国外学校代申请名校保录开请假条改GPA改成绩ID卡
1.高仿业务:【本科硕士】毕业证,成绩单（GPA修改）,学历认证（教育部认证）,大学Offer,,ID,留信认证,使馆认证,雅思,语言证书等高仿类证书；
2.认证服务: 学历认证（教育部认证）,大使馆认证（回国人员证明）,留信认证（可查有编号证书）,大学保录取,雅思保分成绩单。
3.技术服务：钢印水印烫金激光防伪凹凸版设计印刷激凸温感光标底纹镭射速度快。
办理加利福尼亚艺术学院加利福尼亚艺术学院毕业证文凭证书流程：
1客户提供办理信息：姓名生日专业学位毕业时间等（如信息不确定可以咨询顾问：我们有专业老师帮你查询）；
2开始安排制作毕业证成绩单电子图；
3毕业证成绩单电子版做好以后发送给您确认；
4毕业证成绩单电子版您确认信息无误之后安排制作成品；
5成品做好拍照或者视频给您确认；
6快递给客户（国内顺丰国外DHLUPS等快读邮寄）
-办理真实使馆公证（即留学回国人员证明）
-办理各国各大学文凭（世界名校一对一专业服务,可全程监控跟踪进度）
-全套服务：毕业证成绩单真实使馆公证真实教育部认证。让您回国发展信心十足！
（详情请加一下 文凭顾问+微信:95270640）欢迎咨询！子小伍玩小伍比山娃小一岁虎头虎脑的很霸气父亲让山娃跟小伍去夏令营听课山娃很高兴夏令营就设在附近一所小学山娃发现那所小学比自己的学校更大更美操场上还铺有塑胶跑道呢里面很多小朋友一班一班的快快乐乐原来城里娃都藏这儿来了怪不得平时见不到他们山娃恍然大悟起来吹拉弹唱琴棋书画山娃都不懂却什么都想学山娃怨自己太笨什么都不会斟酌再三山娃终于选定了学美术当听说每月要交元时父亲犹豫了山娃也说爸算了吧咱学校一学期才转

AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...

AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...Paris Salesforce Developer Group

Build the Next Generation of Apps with the Einstein 1 Platform.
Rejoignez Philippe Ozil pour une session de workshops qui vous guidera à travers les détails de la plateforme Einstein 1, l'importance des données pour la création d'applications d'intelligence artificielle et les différents outils et technologies que Salesforce propose pour vous apporter tous les bénéfices de l'IA.A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...

The Network on Chip (NoC) has emerged as an effective
solution for intercommunication infrastructure within System on
Chip (SoC) designs, overcoming the limitations of traditional
methods that face significant bottlenecks. However, the complexity
of NoC design presents numerous challenges related to
performance metrics such as scalability, latency, power
consumption, and signal integrity. This project addresses the
issues within the router's memory unit and proposes an enhanced
memory structure. To achieve efficient data transfer, FIFO buffers
are implemented in distributed RAM and virtual channels for
FPGA-based NoC. The project introduces advanced FIFO-based
memory units within the NoC router, assessing their performance
in a Bi-directional NoC (Bi-NoC) configuration. The primary
objective is to reduce the router's workload while enhancing the
FIFO internal structure. To further improve data transfer speed,
a Bi-NoC with a self-configurable intercommunication channel is
suggested. Simulation and synthesis results demonstrate
guaranteed throughput, predictable latency, and equitable
network access, showing significant improvement over previous
designs

Mechanical Engineering on AAI Summer Training Report-003.pdf

Mechanical Engineering on AAI Summer Training Report-003.pdf

P5 Working Drawings.pdf floor plan, civil

P5 Working Drawings.pdf floor plan, civil

Assistant Engineer (Chemical) Interview Questions.pdf

Assistant Engineer (Chemical) Interview Questions.pdf

Determination of Equivalent Circuit parameters and performance characteristic...

Determination of Equivalent Circuit parameters and performance characteristic...

This study Examines the Effectiveness of Talent Procurement through the Imple...

This study Examines the Effectiveness of Talent Procurement through the Imple...

Digital Twins Computer Networking Paper Presentation.pptx

Digital Twins Computer Networking Paper Presentation.pptx

An Introduction to the Compiler Designss

An Introduction to the Compiler Designss

1FIDIC-CONSTRUCTION-CONTRACT-2ND-ED-2017-RED-BOOK.pdf

1FIDIC-CONSTRUCTION-CONTRACT-2ND-ED-2017-RED-BOOK.pdf

Prediction of Electrical Energy Efficiency Using Information on Consumer's Ac...

Prediction of Electrical Energy Efficiency Using Information on Consumer's Ac...

SCALING OF MOS CIRCUITS m .pptx

SCALING OF MOS CIRCUITS m .pptx

smart pill dispenser is designed to improve medication adherence and safety f...

smart pill dispenser is designed to improve medication adherence and safety f...

一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理

一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理

一比一原版(USF毕业证)旧金山大学毕业证如何办理

一比一原版(USF毕业证)旧金山大学毕业证如何办理

Generative AI Use cases applications solutions and implementation.pdf

Generative AI Use cases applications solutions and implementation.pdf

Introduction to Computer Networks & OSI MODEL.ppt

Introduction to Computer Networks & OSI MODEL.ppt

FULL STACK PROGRAMMING - Both Front End and Back End

FULL STACK PROGRAMMING - Both Front End and Back End

Accident detection system project report.pdf

Accident detection system project report.pdf

一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理

一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理

AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...

AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...

A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...

A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...

- 1. Work, Energy and Power Page 1 Chapter No. 9 Work, Power and Energy 1) Work: Work is the product of force and distance and the distance should be in the direction of the force i.e. work is the product of force and displacement. Consider a force ‘P’ is acting on the body which moves a distance of ‘S’ in the direction of the force as shown in Figure (a) below. Figure (a) ∴ Work Done = Force x Distance = P x s But if the force acting on the body and the distance moved are not in the same direction as shown in Figure (b) below, then the work done on the body is given by, ∴Work done = (Component of force in the direction of Motion) x (Distance) = P cos θ x s Figure (b)
- 2. Work, Energy and Power Page 2 Unit = W = F x s W = Nm or J (joule) Work done by a force of 1 N on a body which moves a distance of 1 m, is called as 1 Nm. This is also known as one Joule (J). Hence one joule is the work done by the force of 1 N on a body whose displacement is 1 m. --------------------------------------------------------------------------------------------------------------------- Questions: 1) Find the work done in drawing the body: a) Weighing 1000 N through a distance 10 m along the horizontal surface by a horizontal force of 400 N. b) Weighing 1000 N through a distance 10 m along the horizontal surface by a horizontal force of 400 N whose line of action makes an angle of 300 with the horizontal. 2) A body of weight 2000 N moves on a level horizontal rough road for a distance of 200 m. The resistance of the road is 10 N per 1000 N weight of the body. Find the work done by the resistance on the body. 3) A block of wood of weight 1200 N is placed on a smooth inclined plane which makes an angle of 300 with the horizontal. Find the work done in pulling the block up the length of 8 m. 4) If in Q.3) the inclined plane is rough and μ = 0.3, then find the work done in pulling up for the length of 8 m. --------------------------------------------------------------------------------------------------------------------- Power: The rate of doing work is known as power Power = Work done per second = Force x Distance Time
- 3. Work, Energy and Power Page 3 = Force x Distance Time ∴ Power = Force x Velocity Note: (force and velocity should be in the same direction) Unit: Power = Force x Distance Time = N m sec or Watt (W) --------------------------------------------------------------------------------------------------------------------- Questions: 1) A train of weight 4000 N is pulled by an engine on a level track at a constant speed of 54 kmph. The resistance due to friction is 5 N per kN weight of the train. Find the power of the engine. 2) If in the above question, the train is to move with an acceleration of 0.5 m/s2 on a level track at a constant speed of 54 kmph. Then find the power of the engine? 3) A train of weight 2000 kN is ascending a slope 1 in 100 with an uniform velocity of 36 kmph. Find the power exerted by the engine. If the road resistance is 8 kN per kN weight of the train.
- 4. Work, Energy and Power Page 4 4) A train of weight 2000 kN moves down a slope of 1 in 50 at 18 kmph and engine develops a power of 35 kN. If the train is pulled up at the same speed, what power will be required to pull the train? --------------------------------------------------------------------------------------------------------------- Energy: The capacity to do work is known as energy. It is the product of power and time The energy which appears in various forms gets converted from one form into the other. During this conversion work is done by it. Unit: Joule (J) Forms of energy: i) Mechanical Energy ii) Thermal (heat) energy iii) Chemical energy iv) Light energy v) Sound energy vi) Nuclear energy vii) Electrical energy (In applied mechanics we are dealing with Mechanical Energy) Mechanical Energy: A) Potential Energy B) Kinetic Energy A) Potential Energy (Also known as position energy or datum energy) Definition: Potential Energy is the energy possessed by the body due to its position with respect to certain reference level.
- 5. Work, Energy and Power Page 5 Potential Energy due to Gravity: If a body is raised to a height above a certain reference level, then its P.E. with respect to that level is given by P.E. = m x g x h ---- (joule) Where, m = mass of body in kg g = acceleration due to gravity = 9.81 m/s2 h = height above reference level in m B) Kinetic Energy: The energy possessed by the body due to its motion or velocity a) K.E. for linear Motion: K.E. = 𝟏 𝟐 mv2 ---- (joule) Where, m = mass of body in kg v = velocity in m/s b) K.E. for circular or Rotational Motion: K.E. = 𝟏 𝟐 Iω2 ---- (joule) Proof: Consider a body of mass ‘m’ starting from rest. Let it is subjected to an accelerating force ‘F’ and after covering a distance‘s’, its velocity becomes ‘v’ (Initial velocity) u = 0 (Work done) W = F x s But F = m x a W = m x (a x s) We have,
- 6. Work, Energy and Power Page 6 V2 = u2 + 2as V2 = 2as ∴ a s = v2 2 ∴ W = mv2 2 Work done = K.E. = 1 2 mv2 Work energy Principle (Work energy Equation): Statement: It states that, when a particle moves under the action of a force, the work done by the force is equal to the change in kinetic energy of the particle i.e. Work Done = Change in K.E. Proof: We know that, F = m x a F = m x dv dt F = m x dv ds x ds dt F = m x dv ds x v F ds = m v dv Integrating on both sides, F ∫ ds s2 s1 = m ∫ v dv v2 v1 F (s2 – s1) = m [ v2 2 ] v1 v2 F (s2 – s1) = 1 2 mv2 - 1 2 mu2 ∴ Work Done = (Final K.E.) - (Initial K.E.) = Change in K.E.
- 7. Work, Energy and Power Page 7 Problems: 1) A car travelling at a speed of 75 kmph. Suddenly applies breaks and halts after skidding 50 m. Determine: a) Time required stopping the car. b) The coefficient of friction between tyres and roads. Dec. (2005) (12 MKS) 2) A car moving on a straight level road is skidding for total distance of 60 m after breaks were applied. Determine the speed of the car just before breaks were if co-efficient of friction μ = 0.4. (May 2002 8 MKS) 3) A body weighing 300 N is pushed up a 300 plane by a 400 N force acting parallel to the plane. If the initial velocity of the body is 1.5 m/s and co-efficient of kinetic friction μ = 0.2. What velocity will the body have after moving 6m? 4) A car is traveling with a speed of 50 kmph is brought to rest in 5 sec by applying breaking force. Find the magnitude of breaking force If the mass of car is 8 tones. Use the work energy principle. 5) An object weighing 5 N falls through a height of 40 m and burries itself 1.5 m deep in the sand. Find the average resistance of the penetration using work energy principle. 6) A stone of mass 50gm falls from a height of 35 m and burries itself 0.22 m deep into the sand. Find the average resistance of sand and time of penetration. (May 2005 12 MKS) Note: A) When a body of some weight is moving along horizontal plane then, its weight will not contribute into the force. B) When a body of same weight is falling freely then, its weight will contribute into the force. 7) A block weighing 2500 N rests on a level horizontal plane for which μ = 0.2. This block is pulled by a force of 1000 N acting at an angle of 300 to the horizontal. Find the velocity of the block after it moves 30 m starting from rest. If the force of 1000 N is removed, how much further will it moves? Use work energy principle method. 8) A small block starts from rest at a point A and slides down the inclined plane as shown in Figure below. What distance along the horizontal plane will it travel before coming to the
- 8. Work, Energy and Power Page 8 rest? μ = 0.3. Assume that the initial velocity with which it starts to move along BC is of the same magnitude as that gained in sliding from A to B. 9) A bullet of mass 81 gm and moving with a velocity of 300 m/s is fired in to a block of woo and it penetrates to a depth of 10 cm. If the bullet moving with the same velocity were fired into a similar piece of wood 5 cm thick, with what velocity would it emerge? Find also the force of resistance, assuming it to be uniform. --------------------------------------------------------------------------------------------------------------------- Law of conservation of energy: Statement: The energy can neither be created nor destroyed though it can be transformed from one form to another form. The total energy possessed by a body remains constant provided no energy is added to or taken from it.
- 9. Work, Energy and Power Page 9 Proof: Following Figure shows a body resting on the top of the tower. Let, W = weight of the body m = mass of the body = W g h = height of tower. Now, for the top most position of the body, Potential energy of the body with respect to ground = W h Kinetic energy of the body = K.E. = 1 2 mv2 = 0 (since v = 0) ∴ Total energy at the top of the tower = P.E. + K.E. = W h ------------- (1)
- 10. Work, Energy and Power Page 10 Now, The body falls down by a height ‘h1’ to position 1 as shown in Figure above. Let ‘v1’ be the velocity at position 1 Using, V2 –u2 = 2gh V1 2 – 0 = 2gh1 ∴ v1 = √2gh1 Kinetic energy of the body at position 1 = K.E. = 1 2 mv2 = 1 2 mv1 2 = 1 2 m2gh1 And the P.E. of the body at position 1 = W (h-h1) ---- (with respect to ground) ∴ Total energy at the top of the tower = P.E. + K.E. = W (h-h1) + 1 2 m2gh1 = W h – Wh1 + mgh1 = W h – Wh1 + Wh1 = W h ----------- (2) And it is the same energy, the body possessing at the top of the tower. Now at the ground level, P.E. = 0 And K.E. = 1 2 mv2 V2 –u2 = 2gh V = √2gh ----------------- (with respect to ground) K.E. = 1 2 m (2gh)
- 11. Work, Energy and Power Page 11 = m g h = W h ∴ Total energy at the ground level = W h Which is same, the body possessing at top of the tower and position 1 ----------- (proved) Impact: Impact means the collision of two bodies which occurs in a very small interval of time and during which the two bodies exert very large force on each other. It is defined as the collision between two bodies which takes place for a very short interval of time and during which each body exerts a relatively large force on each other. Figure (a) Momentum: It is the product of mass and velocity of the body in motion. a) For linear motion, linear momentum = mV b) For circular motion, angular momentum = I ω Impulse: It is the product of the force and the time during which it is applied. ∴ Impulse = F x t For a variable force, Impulse of force = ∫ F dt
- 12. Work, Energy and Power Page 12 Impulse is a vector quantity and it acts for a very small time. --------------------------------------------------------------------------------------------------------------------- Types of impact: Line of impact: It is the common normal to the surface in contact during the impact. Figure (b) a) Central Impact: The impact in which the mass centres or (centres of mass)of the two bodies lie on the line of impact as shown in Figure (b) above. b) Eccentric Impact: The impact in which the mass centres of the two bodies does not lie on the line of impact as shown in Figure (c) below. c) Direct Impact: If the velocities of the two bodies are directed along the line of impact, then the impact is known as direct impact as shown in Figure (b) above.
- 13. Work, Energy and Power Page 13 Figure (c) d) Oblique impact: If the velocities of either or both bodies are not directed along the line of impact, then the impact is known as oblique impact as shown in Figure (d) below. Figure (d) 1) Direct central Impact: If the velocities u1 and u2 of two bodies are directed along the line of impact and if the centres c1 and c2 of those bodies lie on the line of impact as shown in Figure (b) above. The impact is known as the direct central impact. 2) Oblique central Impact: If the velocities u1 and u2 of two bodies are not directed along the line of impact and if the centres c1 and c2 of those bodies lie on the line of impact as shown in Figure (d) above. The impact is known as the oblique central impact.
- 14. Work, Energy and Power Page 14 Restitution (e): (for direct central impact) The two bodies try to regain their original size and shape during a short interval of time after deformation. It is known as restitution. Co-efficient of restitution: It is defined as the ratio of impulse during restitution to the impulse during deformation. ∴ e = 𝐢𝐦𝐩𝐮𝐥𝐬𝐞 𝐝𝐮𝐫𝐢𝐧𝐠 𝐫𝐞𝐬𝐭𝐢𝐭𝐮𝐭𝐢𝐨𝐧 𝐢𝐦𝐩𝐮𝐥𝐬𝐞 𝐝𝐮𝐫𝐢𝐧𝐠 𝐝𝐞𝐟𝐨𝐫𝐦𝐚𝐭𝐢𝐨𝐧 or e = 𝐯𝐞𝐥𝐨𝐜𝐢𝐭𝐲 𝐨𝐟 𝐬𝐞𝐩𝐚𝐫𝐚𝐭𝐢𝐨𝐧 𝐯𝐞𝐥𝐨𝐜𝐢𝐭𝐲 𝐨𝐟 𝐚𝐩𝐩𝐫𝐨𝐚𝐜𝐡 ∴ e = 𝐫𝐞𝐥𝐚𝐭𝐢𝐯𝐞 𝐯𝐞𝐥𝐨𝐜𝐢𝐭𝐲 𝐚𝐟𝐭𝐞𝐫 𝐢𝐦𝐩𝐚𝐜𝐭 𝐫𝐞𝐥𝐚𝐭𝐢𝐯𝐞 𝐯𝐞𝐥𝐨𝐜𝐢𝐭𝐲 𝐛𝐞𝐟𝐨𝐫𝐞 𝐢𝐦𝐩𝐚𝐜𝐭 ∴ e = v2− v1 u1− u2 Where, u1 and u2 = initial velocities of m1 and m2 v1 and v2 = final velocities of m1 and m2 When e = 0 plastic impact e = 1 perfectly elastic impact 0 < e < 1 partially elastic impact Classification of Impacts: 1) Perfectly elastic impact: In this impact, momentum is conserved i.e. Momentum before impact = Momentum after impact ∴ m1 u1 + m2 u2 = m1 v1 + m2 v2 Kinetic energy is also conserved in this impact 1 2 m1u1 2 + 1 2 m2u2 2 = 1 2 m1v1 2 + 1 2 m2v2 2 So there is no loss of kinetic energy in this impact
- 15. Work, Energy and Power Page 15 Velocities of bodies get interchanged i.e. u1 = v2 and u2 = v1 Co-efficient of restitution = e = 1 2) Partially elastic impact (semi – plastic impact) Only momentum is conserved in this impact ∴ m1 u1 + m2 u2 = m1 v1 + m2 v2 In this impact kinetic energy is not conserved. So there is loss of kinetic energy in this impact. Loss in K.E. = K.E. before impact – K.E. after impact Co-efficient of restitution = 0 < e < 1 After this impact the distance between two bodies goes on increasing 3) Partially plastic impact: If the two bodies move together with common velocity after impact then it is said to be plastic impact. Only momentum is conserved in this impact ∴ m1 u1 + m2 u2 = m1 v1 + m2 v2 But v1 = v2 = v = common velocity after impact m1 u1 + m2 u2 = (m1 + m2) v K.E. is not conserved in this impact Loss in K.E. = K.E. before impact – K.E. after impact Co-efficient of restitution = e = 0
- 16. Work, Energy and Power Page 16 Newton’s Law of collision: It states that,” The relative velocity of separation, of two the moving bodies collide with each other, bears a constant ratio of their velocity of approach”. The constant of proportionality is known as co-efficient of restitution. Law of Conservation of Momentum: It states that. “If the resultant of the external forces acting on the system is zero, the momentum of the system remains constant”. This means that the total momentum of the system before collision is equal to the total momentum of the system after collision.