This document discusses concepts related to mechanics of solids including:
- It provides an overview of the different classifications of engineering mechanics including mechanics of solids, fluids, rigid bodies, and deformable bodies.
- It describes common idealizations used in mechanics problems such as treating bodies as continua, rigid bodies, and particles.
- It introduces basic concepts in mechanics including space, time, mass, and force which provide the framework for analyzing mechanics problems.
- It defines different systems of forces including collinear, coplanar parallel, coplanar like parallel, and coplanar concurrent forces and provides examples.
Ekeeda Provides Online Civil Engineering Degree Subjects Courses, Video Lectures for All Engineering Universities. Video Tutorials Covers Subjects of Mechanical Engineering Degree. Visit us: https://ekeeda.com/
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
Dynamic force analysis – Inertia force and Inertia torque– D Alembert’s principle –Dynamic Analysis in reciprocating engines – Gas forces – Inertia effect of connecting rod– Bearing loads – Crank shaft torque
This document provides information about the ME 101 Engineering Mechanics course offered by the Department of Civil Engineering at Indian Institute of Technology Guwahati. It includes the lecture and tutorial schedule, syllabus, textbook references, assessment details, and tutorial group assignments. The course covers fundamental concepts of mechanics including forces, equilibrium, structures, friction, moments of inertia, kinematics, and kinetics applied to both particles and rigid bodies using Newton's laws of motion and the law of universal gravitation.
Here are the steps to solve this problem:
1) Resolve each force into x and y components:
F1x = 40 cos 30° = 40(0.866) = 34.64 N
F1y = 40 sin 30° = 40(0.5) = 20 N
F2x = 30 cos 45° = 30(0.707) = 21.21 N
F2y = 30 sin 45° = 30(0.707) = 21.21 N
2) Sum the x and y components:
Rx = F1x + F2x = 34.64 + 21.21 = 55.85 N
Ry = F1y + F2y = 20 +
This document discusses concepts related to mechanics of solids including:
- It provides an overview of the different classifications of engineering mechanics including mechanics of solids, fluids, rigid bodies, and deformable bodies.
- It describes common idealizations used in mechanics problems such as treating bodies as continua, rigid bodies, and particles.
- It introduces basic concepts in mechanics including space, time, mass, and force which provide the framework for analyzing mechanics problems.
- It defines different systems of forces including collinear, coplanar parallel, coplanar like parallel, and coplanar concurrent forces and provides examples.
Ekeeda Provides Online Civil Engineering Degree Subjects Courses, Video Lectures for All Engineering Universities. Video Tutorials Covers Subjects of Mechanical Engineering Degree. Visit us: https://ekeeda.com/
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
Dynamic force analysis – Inertia force and Inertia torque– D Alembert’s principle –Dynamic Analysis in reciprocating engines – Gas forces – Inertia effect of connecting rod– Bearing loads – Crank shaft torque
This document provides information about the ME 101 Engineering Mechanics course offered by the Department of Civil Engineering at Indian Institute of Technology Guwahati. It includes the lecture and tutorial schedule, syllabus, textbook references, assessment details, and tutorial group assignments. The course covers fundamental concepts of mechanics including forces, equilibrium, structures, friction, moments of inertia, kinematics, and kinetics applied to both particles and rigid bodies using Newton's laws of motion and the law of universal gravitation.
Here are the steps to solve this problem:
1) Resolve each force into x and y components:
F1x = 40 cos 30° = 40(0.866) = 34.64 N
F1y = 40 sin 30° = 40(0.5) = 20 N
F2x = 30 cos 45° = 30(0.707) = 21.21 N
F2y = 30 sin 45° = 30(0.707) = 21.21 N
2) Sum the x and y components:
Rx = F1x + F2x = 34.64 + 21.21 = 55.85 N
Ry = F1y + F2y = 20 +
This document provides information about the ME 101 Engineering Mechanics course offered by the Department of Civil Engineering at IIT Guwahati. It includes the course schedule, syllabus, textbook information, tutorial groups, and grading policy. The course covers topics in statics and dynamics including equilibrium of rigid bodies, structures, friction, virtual work, kinematics and kinetics of particles and rigid bodies. The document also provides background on fundamental concepts in mechanics such as Newton's laws of motion and gravitational attraction.
Introduction of system of coplanar forces (engineering mechanics)mashnil Gaddapawar
This document provides an overview of engineering mechanics. It discusses three main classifications of mechanics: mechanics of deformable bodies, mechanics of fluids, and mechanics of rigid bodies. Mechanics of deformable bodies deals with how forces are distributed inside bodies and cause stresses and deformations. Mechanics of fluids concerns liquids and gases and their applications in engineering. Mechanics of rigid bodies examines bodies that do not deform under forces. The document also outlines fundamental concepts in mechanics like length, time, displacement, velocity, and acceleration. It introduces important mechanical laws developed by Sir Isaac Newton like Newton's three laws of motion and Newton's law of universal gravitation. Other topics covered include units of measurement, force, characteristics and classification of forces, and resolution
This document provides an overview of a 2-week workshop on engineering mechanics taught by Professors Mandar Inamdar and Sauvik Banerjee from November 26 to December 6, 2013. The workshop will cover fundamentals of mechanics including vectors, scalars, Newton's laws, and principles of statics and dynamics. Key textbooks will be used as references and concepts will be illustrated with examples from areas like structures, robotics, aircraft, bridges, and mechanical vibrations. Problem solving will involve creating free body diagrams, applying fundamental principles, and checking solutions. Modeling of real-life problems will also be discussed.
This document outlines the syllabus for the Engineering Mechanics course EE301ES for the B.Tech. II Year I Sem program at JNTU Hyderabad. The course objectives are to explain concepts related to force systems, centroids, moments of inertia, and kinetics and kinematics of particles and rigid bodies. The course is divided into 5 units covering topics such as equilibrium of rigid bodies, friction, centroids, moments of inertia, particle and rigid body motion, and kinetics of rigid bodies. At the end of the course students should be able to solve problems related to force systems, friction, centroids, moments of inertia, and kinetics.
This document discusses static and dynamics as they relate to civil engineering. It begins by defining static as the study of bodies at rest or in constant motion, while dynamics examines accelerated motion. Both are important to engineering studies, as static is used to design structures meant to remain balanced. The document then provides theoretical frameworks for static and dynamics, including examples like Archimedes' principle. It discusses how static and dynamics apply to situations in civil engineering, noting static's importance for analyzing structural forces and stability, and dynamics' relevance for structures that move like bridges and machinery.
This document provides an introduction to engineering mechanics, including its key concepts and branches. It can be summarized as follows:
1) Engineering mechanics is divided into statics, which studies forces on bodies at rest or in uniform motion, and dynamics, which studies forces on bodies in motion. Dynamics is further divided into kinetics and kinematics.
2) Mechanics concepts discussed include force, space, particles, rigid bodies, units of measurement, and trigonometry principles for analyzing forces and motion.
3) Scalar and vector quantities are introduced, with examples given. Vectors are represented graphically using magnitude and direction.
Ekeeda Provides Online Civil Engineering Degree Subjects Courses, Video Lectures for All Engineering Universities. Video Tutorials Covers Subjects of Mechanical Engineering Degree.
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
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
This document discusses the fundamentals of mechanics, kinematics, and dynamics. It covers:
- The basics of mechanisms and force analysis.
- Types of forces including applied, inertia, and frictional forces.
- Newton's laws of motion and types of force analysis including static and dynamic.
- Kinematics concepts like plane and curvilinear motion, and linear displacement, velocity, and acceleration.
5-1 NEWTON’S FIRST AND SECOND LAWS
After reading this module, you should be able to . . .
5.01 Identify that a force is a vector quantity and thus has
both magnitude and direction and also components.
5.02 Given two or more forces acting on the same particle,
add the forces as vectors to get the net force.
5.03 Identify Newton’s first and second laws of motion.
5.04 Identify inertial reference frames.
5.05 Sketch a free-body diagram for an object, showing the
object as a particle and drawing the forces acting on it as
vectors with their tails anchored on the particle.
5.06 Apply the relationship (Newton’s second law) between
the net force on an object, the mass of the object, and the
acceleration produced by the net force.
5.07 Identify that only external forces on an object can cause
the object to accelerate.
5-2 SOME PARTICULAR FORCES
After reading this module, you should be able to . . .
5.08 Determine the magnitude and direction of the gravitational force acting on a body with a given mass, at a location
with a given free-fall acceleration.
5.09 Identify that the weight of a body is the magnitude of the
net force required to prevent the body from falling freely, as
measured from the reference frame of the ground.
5.10 Identify that a scale gives an object’s weight when the
measurement is done in an inertial frame but not in an accelerating frame, where it gives an apparent weight.
5.11 Determine the magnitude and direction of the normal
force on an object when the object is pressed or pulled
onto a surface.
5.12 Identify that the force parallel to the surface is a frictional
the force that appears when the object slides or attempts to
slide along the surface.
5.13 Identify that a tension force is said to pull at both ends of
a cord (or a cord-like object) when the cord is taut. etc...
Lecture 1 Introduction to statics Engineering Mechanics hibbeler 14th editionaxmedbaasaay
This document discusses mechanics, specifically rigid body mechanics. It defines mechanics as dealing with forces and motion of bodies. Rigid body mechanics examines objects that do not deform under applied forces. This field is divided into statics, which considers motionless bodies, and dynamics, which examines moving bodies. Rigid body mechanics forms the basis for understanding deformable bodies and fluid mechanics. Key concepts introduced are particles, rigid bodies, forces, and Newton's laws of motion.
1. Solid mechanics deals with the behavior of solid bodies subjected to various types of loading. It is subdivided into mechanics of rigid bodies and mechanics of deformable solids.
2. Mechanics of rigid bodies is concerned with static and dynamic behavior under external forces, while mechanics of deformable solids determines internal forces and associated changes in geometry from applied loads.
3. Stresses, strains, and deflections in solids are analyzed using concepts such as stress which defines force intensity, strain which defines deformation, elasticity defined by Hooke's Law, and Poisson's ratio which relates longitudinal and lateral strains.
This problem involves finding the resultant force and tensions in ropes when a barge is pulled by two tug boats. The resultant force exerted by the boats is 25 kN directed along the axis of the barge. When the angle between the ropes (α) is 45°, the tension in each rope is calculated using the triangle law of forces. The minimum tension in rope BC occurs when α is 60°, as determined by taking the derivative of the tension equation and setting it equal to zero.
This document provides an overview of engineering mechanics. It defines mechanics as the branch of physics dealing with rest and motion. Mechanics can be divided into classical mechanics, relativistic mechanics, and wave mechanics. Engineering mechanics is further divided into solid mechanics and fluid mechanics. Solid mechanics includes rigid body mechanics and deformable body mechanics. Rigid body mechanics contains statics and dynamics. Dynamics contains kinematics and kinetics. The document also outlines Newton's laws of motion, the law of universal gravitation, and other fundamental laws and concepts of mechanics. Finally, it discusses common units used in mechanics like the MKS, CGS, and FPS systems.
1) Motion is defined as a change in an object's position over time. It can be linear, circular, or oscillatory.
2) Mechanics studies the motion and forces on objects. It includes kinematics which describes motion, statics which considers forces on stationary objects, and dynamics which considers forces causing motion.
3) One dimensional motion involves change in one coordinate, two dimensional in two coordinates, and three dimensional in all three coordinates. Rectilinear motion follows a straight line path while circular motion follows a circular path.
Software Engineering and Project Management - Introduction, Modeling Concepts...Prakhyath Rai
Introduction, Modeling Concepts and Class Modeling: What is Object orientation? What is OO development? OO Themes; Evidence for usefulness of OO development; OO modeling history. Modeling
as Design technique: Modeling, abstraction, The Three models. Class Modeling: Object and Class Concept, Link and associations concepts, Generalization and Inheritance, A sample class model, Navigation of class models, and UML diagrams
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This document provides information about the ME 101 Engineering Mechanics course offered by the Department of Civil Engineering at IIT Guwahati. It includes the course schedule, syllabus, textbook information, tutorial groups, and grading policy. The course covers topics in statics and dynamics including equilibrium of rigid bodies, structures, friction, virtual work, kinematics and kinetics of particles and rigid bodies. The document also provides background on fundamental concepts in mechanics such as Newton's laws of motion and gravitational attraction.
Introduction of system of coplanar forces (engineering mechanics)mashnil Gaddapawar
This document provides an overview of engineering mechanics. It discusses three main classifications of mechanics: mechanics of deformable bodies, mechanics of fluids, and mechanics of rigid bodies. Mechanics of deformable bodies deals with how forces are distributed inside bodies and cause stresses and deformations. Mechanics of fluids concerns liquids and gases and their applications in engineering. Mechanics of rigid bodies examines bodies that do not deform under forces. The document also outlines fundamental concepts in mechanics like length, time, displacement, velocity, and acceleration. It introduces important mechanical laws developed by Sir Isaac Newton like Newton's three laws of motion and Newton's law of universal gravitation. Other topics covered include units of measurement, force, characteristics and classification of forces, and resolution
This document provides an overview of a 2-week workshop on engineering mechanics taught by Professors Mandar Inamdar and Sauvik Banerjee from November 26 to December 6, 2013. The workshop will cover fundamentals of mechanics including vectors, scalars, Newton's laws, and principles of statics and dynamics. Key textbooks will be used as references and concepts will be illustrated with examples from areas like structures, robotics, aircraft, bridges, and mechanical vibrations. Problem solving will involve creating free body diagrams, applying fundamental principles, and checking solutions. Modeling of real-life problems will also be discussed.
This document outlines the syllabus for the Engineering Mechanics course EE301ES for the B.Tech. II Year I Sem program at JNTU Hyderabad. The course objectives are to explain concepts related to force systems, centroids, moments of inertia, and kinetics and kinematics of particles and rigid bodies. The course is divided into 5 units covering topics such as equilibrium of rigid bodies, friction, centroids, moments of inertia, particle and rigid body motion, and kinetics of rigid bodies. At the end of the course students should be able to solve problems related to force systems, friction, centroids, moments of inertia, and kinetics.
This document discusses static and dynamics as they relate to civil engineering. It begins by defining static as the study of bodies at rest or in constant motion, while dynamics examines accelerated motion. Both are important to engineering studies, as static is used to design structures meant to remain balanced. The document then provides theoretical frameworks for static and dynamics, including examples like Archimedes' principle. It discusses how static and dynamics apply to situations in civil engineering, noting static's importance for analyzing structural forces and stability, and dynamics' relevance for structures that move like bridges and machinery.
This document provides an introduction to engineering mechanics, including its key concepts and branches. It can be summarized as follows:
1) Engineering mechanics is divided into statics, which studies forces on bodies at rest or in uniform motion, and dynamics, which studies forces on bodies in motion. Dynamics is further divided into kinetics and kinematics.
2) Mechanics concepts discussed include force, space, particles, rigid bodies, units of measurement, and trigonometry principles for analyzing forces and motion.
3) Scalar and vector quantities are introduced, with examples given. Vectors are represented graphically using magnitude and direction.
Ekeeda Provides Online Civil Engineering Degree Subjects Courses, Video Lectures for All Engineering Universities. Video Tutorials Covers Subjects of Mechanical Engineering Degree.
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
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
This document discusses the fundamentals of mechanics, kinematics, and dynamics. It covers:
- The basics of mechanisms and force analysis.
- Types of forces including applied, inertia, and frictional forces.
- Newton's laws of motion and types of force analysis including static and dynamic.
- Kinematics concepts like plane and curvilinear motion, and linear displacement, velocity, and acceleration.
5-1 NEWTON’S FIRST AND SECOND LAWS
After reading this module, you should be able to . . .
5.01 Identify that a force is a vector quantity and thus has
both magnitude and direction and also components.
5.02 Given two or more forces acting on the same particle,
add the forces as vectors to get the net force.
5.03 Identify Newton’s first and second laws of motion.
5.04 Identify inertial reference frames.
5.05 Sketch a free-body diagram for an object, showing the
object as a particle and drawing the forces acting on it as
vectors with their tails anchored on the particle.
5.06 Apply the relationship (Newton’s second law) between
the net force on an object, the mass of the object, and the
acceleration produced by the net force.
5.07 Identify that only external forces on an object can cause
the object to accelerate.
5-2 SOME PARTICULAR FORCES
After reading this module, you should be able to . . .
5.08 Determine the magnitude and direction of the gravitational force acting on a body with a given mass, at a location
with a given free-fall acceleration.
5.09 Identify that the weight of a body is the magnitude of the
net force required to prevent the body from falling freely, as
measured from the reference frame of the ground.
5.10 Identify that a scale gives an object’s weight when the
measurement is done in an inertial frame but not in an accelerating frame, where it gives an apparent weight.
5.11 Determine the magnitude and direction of the normal
force on an object when the object is pressed or pulled
onto a surface.
5.12 Identify that the force parallel to the surface is a frictional
the force that appears when the object slides or attempts to
slide along the surface.
5.13 Identify that a tension force is said to pull at both ends of
a cord (or a cord-like object) when the cord is taut. etc...
Lecture 1 Introduction to statics Engineering Mechanics hibbeler 14th editionaxmedbaasaay
This document discusses mechanics, specifically rigid body mechanics. It defines mechanics as dealing with forces and motion of bodies. Rigid body mechanics examines objects that do not deform under applied forces. This field is divided into statics, which considers motionless bodies, and dynamics, which examines moving bodies. Rigid body mechanics forms the basis for understanding deformable bodies and fluid mechanics. Key concepts introduced are particles, rigid bodies, forces, and Newton's laws of motion.
1. Solid mechanics deals with the behavior of solid bodies subjected to various types of loading. It is subdivided into mechanics of rigid bodies and mechanics of deformable solids.
2. Mechanics of rigid bodies is concerned with static and dynamic behavior under external forces, while mechanics of deformable solids determines internal forces and associated changes in geometry from applied loads.
3. Stresses, strains, and deflections in solids are analyzed using concepts such as stress which defines force intensity, strain which defines deformation, elasticity defined by Hooke's Law, and Poisson's ratio which relates longitudinal and lateral strains.
This problem involves finding the resultant force and tensions in ropes when a barge is pulled by two tug boats. The resultant force exerted by the boats is 25 kN directed along the axis of the barge. When the angle between the ropes (α) is 45°, the tension in each rope is calculated using the triangle law of forces. The minimum tension in rope BC occurs when α is 60°, as determined by taking the derivative of the tension equation and setting it equal to zero.
This document provides an overview of engineering mechanics. It defines mechanics as the branch of physics dealing with rest and motion. Mechanics can be divided into classical mechanics, relativistic mechanics, and wave mechanics. Engineering mechanics is further divided into solid mechanics and fluid mechanics. Solid mechanics includes rigid body mechanics and deformable body mechanics. Rigid body mechanics contains statics and dynamics. Dynamics contains kinematics and kinetics. The document also outlines Newton's laws of motion, the law of universal gravitation, and other fundamental laws and concepts of mechanics. Finally, it discusses common units used in mechanics like the MKS, CGS, and FPS systems.
1) Motion is defined as a change in an object's position over time. It can be linear, circular, or oscillatory.
2) Mechanics studies the motion and forces on objects. It includes kinematics which describes motion, statics which considers forces on stationary objects, and dynamics which considers forces causing motion.
3) One dimensional motion involves change in one coordinate, two dimensional in two coordinates, and three dimensional in all three coordinates. Rectilinear motion follows a straight line path while circular motion follows a circular path.
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Introduction to Engineering Mechanics II: Dynamics.pptx
1. Engineering Mechanics II
ME 2209
Dr. Mohammad Ilias Inam
Professor
Department of Mechanical Engineering & Technology
Khulna University of Engineering & Technology
2. 2 - 2
References:
1. Engineering Mechanics Statics and Dynamics by R. C. Hibbler
2. Vector Mechanics for Engineering (Dynamics) by Ferdinand P. Beer and E.
Russel Jhston
3. 2 - 3
Mechanics: Mechanics is the study of force, deformation, motion and the
relation between them.
Mechanics traditionally partition into three course, such as:
1. Statics: ME 1209 – Acceleration is considered zero here.
2. Dynamics: ME 2209 - Dynamics deals with the non-
negligible acceleration of mass.
3. Strength of Material: ME 2211 – Strength of material, also
called Mechanics of Solid, is a subject which deal with the
behavior of solid objects, subject to stress and strain.
4. Stati1209
2 - 4
1. Newton First law and Third law is enough for the study of bodies at
rest or in motion.
2. Here acceleration is zero.
3. Velocity could be zero or not. If velocity is not zero than velocity
should be constant.
4. Equation: For particle.
For Rigid Body.
Statics (ME 1209)
0
F
;
0
F
0
A
M
5. Kinetics:
Kinetics study of the relations
existing between the forces acting
on a body, the mass of the body,
and the motion of the body.
Kinetics is used to predict the
motion caused by given forces or to
determine the forces required to
produce a given motion.
Kinematics:
Kinematics study of the
geometry of motion.
Relates displacement,
velocity, acceleration, and
time without reference to
the cause of motion.
Fthrust
Flift
Fdrag
Dynamics
6. 2 - 6
Particle:
A particle is a body of negligible
dimensions.
When the dimensions of a body
are irrelevant to the description
of its motions, the body can be
treated as a particle.
Examples:
An airplane:
Yes when analyzing the flight
path from Khulna to Dhaka.
No when plane rotates.
A space shuttle:
Yes when analyzing the orbit of
the shuttle.
No when the shuttle turns.
Rigid Body:
A rigid body is a body that does
not deform and the dimension
of the body are not negligible.
When the deformation is much
less than the dimensions of the
body to be analyzed and the
dimensions of a body are
irrelevant to the description of
its motion, the body can be
treated as a rigid body.
Examples:
An airplane:
• Yes when analyzing the
rotational motion of the
airplane.
• No when analyzing the
vibration of the airplane wings.
7. 2 - 7
Particle
No rotation
No moment equation
Rigid Body
Rotation Exist
Moment equations are
important.
Kinematics
Relates displacement,
velocity, acceleration, and time.
Forces are not included in the
analysis.
Kinetics
Relates force, mass, velocity
Forces are considered
8. 2 - 8
Kinematics of particle
Kinematics of rigid body
Kinetics of particle
Kinetics of rigid body
1. Dimensions are negligible.
2. Forces are not consider.
3. Chapter: 11.
1. Dimensions are important.
2. Forces are not consider.
3. Chapter: 15.
1. Dimensions are negligible.
2. Forces are consider.
3. Chapter: 12 & 13
1. Dimensions are important.
2. Forces are consider.
3. Chapter: 16, 17 & 18