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The document describes an experiment to verify Newton's Second Law of Motion using an Atwood Machine. An Atwood Machine was used to measure the acceleration of two masses (M and m) connected by a string and pulley. Acceleration was calculated for different mass differences and graphed against the mass difference. The slope of the line was used to calculate the total mass, which was found to be 725.98g with a 3.7% error from the actual total mass of 700g, thus verifying Newton's Second Law.

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Force.Ppt

Force.Ppt

application of differential equation and multiple integral

application of differential equation and multiple integral

Faraday's law 333

Faraday's law 333

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Force.Ppt

Force is a push or pull that can cause motion or acceleration. It is measured in Newtons and all forces are interactions between objects. The net force is calculated by adding forces in the same direction and subtracting forces in opposite directions, with an unbalanced net force producing motion.

application of differential equation and multiple integral

This document discusses differential equations and their applications. It begins by defining differential equations as mathematical equations that relate an unknown function to its derivatives. There are two types: ordinary differential equations involving one variable, and partial differential equations involving two or more variables. Applications are given for modeling physical systems involving mass, springs, dampers, fluid dynamics, heat transfer, and rigid body dynamics. The document also discusses surface and volume integrals involving vectors, with examples of calculating fluid flow rates and mass of water in a reservoir. Differential equations and multiple integrals find diverse applications in engineering fields.

Faraday's law 333

This document discusses electromagnetic induction and Faraday's law of induction. It begins by defining magnetic flux and provides the mathematical expression for it. It then introduces Faraday's law, which states that the induced electromotive force (emf) in a circuit is equal to the negative rate of change of magnetic flux through the circuit. The document explains magnetic flux in more detail and discusses some examples of electromagnetic induction, including its application in generators and magnetic recording. The key point is that a changing magnetic field produces an electric field based on Faraday's law of induction.

Dynamics, Projectile, impulse, impact

1) The document discusses the motion of projectiles on horizontal and inclined planes. Expressions are derived for the range of a projectile on an inclined plane and the angle of projection for maximum range.
2) Laws of impact and types of impacts between objects are explained. The concept of impulse is introduced and the law of conservation of momentum during impacts is stated.
3) Direct impact between two smooth spheres is analyzed using the law of conservation of momentum and coefficient of restitution. Expressions are obtained for the velocities of the spheres after impact.

Unit 23 - Fluid Pressure

1) Pressure is equal to force divided by area and is measured in Pascals. Fluids exert pressure on all surfaces they touch due to the force of their molecules.
2) Water pressure increases greatly with depth - at the bottom of the Mariana Trench it is over 1,100 times atmospheric pressure. According to Pascal's principle, pressure changes in a fluid are transmitted equally in all directions.
3) Buoyant force, which causes things to float, is equal to the weight of the fluid displaced and depends on the relative densities of the object and fluid. Ship hulls are able to displace enough water to float despite being made of dense steel.

Art and Culture - Module 05 - Hellenism and Rome

Fifth module for GNED 1201 (Aesthetic Experience and Ideas). This one covers the art and culture of first the Hellenistic world, then that of Republican and Imperial Rome. Presentation focuses on the Second Century Crisis and cultural and aesthetic responses to it.
This course is a required general education course for all first-year students at Mount Royal University in Calgary, Canada. My version of the course is structured as a kind of Art History and Culture course. Some of the content overlaps with my other Gen Ed course.

Physics ip

Physics Investigated Project for CBSE Class 12
To get the whole "WORD" file DM me at
wadhawan.maanit@yahoo.com
Or Watsapp- 6389004709
( INCLUDING COVER PAGE, CERTIFICATE, AKNOWLEDGEMENT,INDEX, THEORY AND BIBLIOGRAPHY)

Force and laws of motion

The document discusses different types of forces including frictional, gravitational, magnetic, muscular, electrostatic, and normal forces. It defines each force and provides relevant formulas. Frictional force opposes motion between two surfaces in contact. Gravitational force is due to the attraction between masses and equals an object's weight. Magnetic force is exerted by magnets. Muscular force results from muscle action. Electrostatic force acts between charged bodies. Normal force supports contact between surfaces. Balanced forces do not cause acceleration while unbalanced forces do. The three laws of motion are also summarized.

Special Theory Of Relativity

The document summarizes key aspects of Einstein's special theory of relativity, including:
1) It showed that Newton's ideas of absolute space and time were incorrect and implied that matter and energy are interconvertible.
2) It established two postulates - the laws of physics apply in all inertial frames, and the speed of light is constant in all frames.
3) This leads to effects like time dilation and length contraction, as measurements of space and time differ for observers in different inertial frames moving relative to one another.

3 equation of motion

The document discusses three equations of motion:
1) The first equation is v=u + at, which gives the velocity acquired by an object with initial velocity u that experiences a uniform acceleration a over time t.
2) The second equation is s=ut + 1/2at^2, which gives the distance traveled by an object with initial velocity u and uniform acceleration a over time t.
3) The third equation is v=u + 2as, which can be derived by eliminating time t from the first two equations and gives the final velocity of an object that travels a distance s with initial velocity u and uniform acceleration a.

Spring mass system

Topic of computational methods for mechanical engineering. Information about spring mass system. Mathematical modelling of spring mass system. free mass spring system. Damped vibration. Forced damped system. Free oscillation.

Forces in Fluids

The document summarizes key concepts about fluids and their properties. It explains that fluids exert pressure evenly, and pressure increases with depth. It also discusses how atmospheric pressure varies with altitude. Objects float based on buoyant force balancing their weight. Denser objects sink while less dense objects float. Fluids flow from high to low pressure. The document also examines how fluid speed relates to pressure through Bernoulli's principle and how wing design and size influence flight.

Center Of Mass

The document discusses the center of mass of objects and systems of objects. It defines the center of mass as the point that behaves as if all the mass is concentrated there and external forces are applied there. It provides examples of how changing body position during motions like jumping can affect the height and motion of the center of mass. Equations are presented for calculating the center of mass for systems of particles and continuous objects. Examples of solving for the center of mass in different geometric configurations are also included.

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.

Projecctile motion by sanjeev

The document describes projectile motion and the key concepts involved. It defines a projectile as a particle thrown obliquely near the earth's surface that moves along a curved path. It discusses the trajectory, components of velocity and acceleration, equations of motion, time of flight, range, maximum height, and velocity of a projectile at any instant. Examples of projectile motion calculations are provided to illustrate how to determine initial velocities, maximum height, range, and the time and distance required for a bomb to hit a target from an airplane.

Artificial Satellites

India has launched several satellites for research and applications. Aryabhatta was India's first satellite, launched in 1975 with assistance from the Soviet Union to gain experience in space. Bhaskara-1 collected ocean and land surface data from orbit. Mars Orbiter Mission (MOM), launched in 2013, made India the first Asian nation to reach Mars orbit on its first attempt.

Newton's Laws of motion

This document summarizes Sir Isaac Newton's three laws of motion. Newton's first law states that an object at rest stays at rest and an object in motion stays in motion unless acted on by an unbalanced force. The second law defines force as mass times acceleration. Newton's third law states that for every action there is an equal and opposite reaction. Examples are given for each law, such as friction slowing moving objects and the reaction force when hitting a baseball being the force applied to the bat by the ball.

Physics Presentation

The document summarizes key concepts in vector analysis presented in a physics presentation:
Vectors have both magnitude and direction, unlike scalars which only have magnitude. Common vector quantities include displacement, velocity, force. Vectors can be added using the parallelogram law or triangle law. The dot product of two vectors produces a scalar, while the cross product produces a vector perpendicular to the two input vectors. Vector concepts like resolution, equilibrium of forces, and area/volume calculations utilize dot and cross products.

Transformations (complex variable & numerical method)

This document provides examples of transformations involving complex variables and their applications. It contains 3 examples of inversion transformations where a line or circle in the z-plane is transformed to a circle or line in the w-plane. It also contains 2 examples of square transformations where a region in the z-plane is transformed to parabolic regions in the w-plane. Additionally, it discusses finding the image of a line or circle under translations in the complex plane.

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.

Force.Ppt

Force.Ppt

application of differential equation and multiple integral

application of differential equation and multiple integral

Faraday's law 333

Faraday's law 333

Dynamics, Projectile, impulse, impact

Dynamics, Projectile, impulse, impact

Unit 23 - Fluid Pressure

Unit 23 - Fluid Pressure

Art and Culture - Module 05 - Hellenism and Rome

Art and Culture - Module 05 - Hellenism and Rome

Physics ip

Physics ip

Force and laws of motion

Force and laws of motion

Special Theory Of Relativity

Special Theory Of Relativity

3 equation of motion

3 equation of motion

Spring mass system

Spring mass system

Forces in Fluids

Forces in Fluids

Center Of Mass

Center Of Mass

Projectile Motion

Projectile Motion

Projecctile motion by sanjeev

Projecctile motion by sanjeev

Artificial Satellites

Artificial Satellites

Newton's Laws of motion

Newton's Laws of motion

Physics Presentation

Physics Presentation

Transformations (complex variable & numerical method)

Transformations (complex variable & numerical method)

work energy theorem and kinetic energy

work energy theorem and kinetic energy

1 Lab 3 Newton’s Second Law of Motion Introducti.docx

1
Lab 3: Newton’s Second Law of Motion
Introduction
Newton’s Second law of motion can be summarized by the following equation:
Σ F = m a (1)
where Σ F represents a net force acting on an object, m is the mass of the object moving
under the influence of Σ F, and a is the acceleration of that object. The bold letters in
the equation represent vector quantities.
In this lab you will try to validate this law by applying Eq. 1 to the almost frictionless
motion of a car moving along a horizontal aluminum track when a constant force T
(tension in the string) acts upon it. This motion (to be exact the velocity of the moving
object) will be recorded automatically by a motion sensor. The experimental set up
for a car moving away from the motion sensor is depicted below.
If we consider the frictionless motion of the cart in the positive x-direction chosen in
the diagram, then Newton’s Second Law can be written for each of the objects as
follows:
T Ma (2)
and
– gT F ma (3)
From this system of equations we can get the acceleration of the system:
2
gF
a
m M
(4)
Because the motion of the car is not frictionless, to get better results it is necessary to
include the force of kinetic friction fk experienced by the moving car in the analysis.
When the cart is moving away from the motion detector (positive x-direction in the
diagram) Newton’s Second Law is written as follows for each of the moving objects
m and M:
1 1– kT f Ma (5)
and
1 1– gT F ma (6)
Since it is quite difficult to assess quantitatively the magnitude of kinetic friction
involved in our experiment we will solve the problem by putting the object in two
different situations in which the friction acts in opposite directions respectively while
the tension in the string remains the same.
When the cart M is forced to move towards the motion detector (negative x-direction
in the diagram), the corresponding Newton’s Second Law equations will change as
follows:
2 2kT f Ma (7)
and
2 2gT F ma (8)
Note that in equations 5, 6, 7, and 8 the direction of acceleration represented by vector
a has been chosen in the same direction as the direction of motion.
We are able to eliminate the force of kinetic friction on the final result, by calculating
the mean acceleration from these two runs:
1 2
2
ave
slope slope
a
(9)
Combing the equations (5) – (8) we derive the equation to calculate the value of
gravitational acceleration:
avea M mg
m
(10)
3
Equipment
Horizontal dynamics track with smart pulley and safety stopper on one end; collision
cart with reflector connected to a variable mass hanging over the pulley; motion
detector connected to the Science Workshop interface recording the velocity of the
moving cart.
Procedure:
a) Weigh the cart (M) and the small mass (m) hanger.
b) Open the experiment file “New ...

Statics week01

This document provides definitions and concepts related to mechanics, forces, and statics. It introduces coordinate systems, units of measurement, and numerical accuracy. Newton's laws of motion are defined. Vectors are described including operations like addition, subtraction, and dot and cross products. Forces are classified as concentrated or distributed. Statics deals with forces acting on bodies at rest.

PART I.2 - Physical Mathematics

Newton™s Laws; Moment of a Vector; Gravitation; Finite Rotations; Trajectory of a Projectile with Air Resistance; The Simple Pendulum; The Linear Harmonic Oscillator; The Damped Harmonic Oscillator

Engmech 01 (vectors)

Engineering mechanics is the science that studies how physical systems respond to external forces. It examines scalar and vector quantities like time, mass, force, and displacement. The document outlines fundamental concepts in engineering mechanics like particles, rigid bodies, and Newton's laws of motion, and methods for adding vectors including the Pythagorean theorem and head-to-tail graphical method.

Topic 2.2

Forces can cause objects to deform, speed up, slow down, or change direction. A free-body diagram represents the forces acting on an object with arrows pointing in the direction of each force. Newton's three laws of motion state that an object remains at rest or in motion unless acted on by an external force, that acceleration is proportional to force, and that for every action there is an equal and opposite reaction.

Coordinate systems

1) The document provides an overview of classical mechanics, including definitions of key concepts like space, time, mass, and force. It summarizes Newton's three laws of motion and how they relate to concepts like momentum and inertia.
2) Key principles of classical mechanics are explained, such as reference frames, Newton's laws, and conservation of momentum. Vector operations and products are also defined.
3) Examples are given to illustrate fundamental principles, like Newton's third law and how it relates to conservation of momentum in systems with multiple objects. Coordinate systems are briefly introduced.

2. statics.pdf

This document provides an overview of engineering mechanics as taught in the course ME101:
1) Engineering mechanics deals with the motion and equilibrium of rigid bodies under the action of forces, and includes statics, dynamics, and rigid body mechanics. 2) Rigid body mechanics assumes bodies do not deform under loading and is a prerequisite for more advanced topics. 3) Statics analyzes equilibrium of bodies under constant forces, while dynamics analyzes accelerated motion of bodies.

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.

REPORT SUMMARYVibration refers to a mechanical.docx

REPORT SUMMARY
Vibration refers to a mechanical phenomenon involving oscillations about a point. These oscillations can be of any imaginable range of amplitudes and frequencies, with each combination having its own effect. These effects can be positive and purposefully induced, but they can also be unintentional and catastrophic. It's therefore imperative to understand how to classify and model vibration.
Within the classroom portion of ME 345, we discussed damped and undamped vibrations, appropriate models, and several of their properties. The purpose of Lab 3 is to give us the corresponding "hands-on" experience to cement our understanding of the theory.
As it turns out, vibration can be modeled with a simple spring-mass system (spring-mass-damper system for damped vibration). In order to create a mathematical model for our simple spring-mass system, we apply Newton's second law and sum the forces about the mass. After applying some of our knowledge of differential equations, the result is a second order linear differential equation (in vector form). This can easily be converted to the scalar version, from which it's easy to glean various properties of the vibration (i.e. natural frequency, period, etc.).
In the lab, we were provided with a PASCO motion sensor, USB link, ramp, and accompanying software. All of the aforementioned equipment was already assembled and connected. The ramp was set up at an angle with a stop on the elevated end and the motion sensor on the lower end. The sensor was connected to the USB link, which was in turn connected to the computer. We chose to use the Xplorer GLX software to interface with the sensor and record our data. After receiving our equipment, we gathered data on our spring's extension with a known load to derive a spring constant. We were provided with a small cart to which we attached weights to increase its mass. In order to model free vibration, we placed the cart on the track and attached it to the stop at the top of the ramp with a spring. After displacing the cart a certain distance from its equilibrium point, the cart was released and was allowed to oscillate on the track while we recorded its distance from the sensor. This was done with displacements of -20cm, -10cm, +10cm, and +20cm from the system's equilibrium point. After gathering this data for the "free" case, a magnet was attached to the front of the car, spaced as far from the track as possible. As the track is magnetic, this caused a slight damping effect, basically converting our spring-mass system to an underdamped spring-mass-damper system. After repeating the procedure for the "free" case, we moved the magnets as close to the track as possible (causing the system to become overdamped) and again repeated the procedure for the "free" case.
We were finally able to determine the period, phase angle, damping coefficients, and circular and cyclical frequencies for the three systems. There were similarities and differ ...

ModelingZillDiffEQ9_LecturePPTs_05_01.pptx

Modeling with high order

Curve fitting - Lecture Notes

Curve fitting, Various methods of Curve fitting, Straight Line fit, Parabola fit, Fitting of other curve

Radiation physics 2

1. Physics deals with matter and energy through defining and characterizing interactions between the two.
2. Mechanics studies motion and forces, including quantities like speed, velocity, acceleration, force, momentum and Newton's Laws of Motion.
3. Solving physics problems involves identifying known and unknown quantities, selecting the appropriate equation, and using the correct units.

dynamics chapt 1 .pptx

Engineering Dynamics (Mechanics II) slide that give you great understanding with short and precise way.

Study Unit Ill Engineerin M Part4 an1cs By And.docx

Study Unit
Ill Engineerin M
Part4
an1cs
By
Andrew Pytel, Ph.D.
Associate Professor, Engineering Mechanics
The Pennsylvania State University
When you complete this study unit, you'll be able to
• Calculate the mass moment of inertia
• Calculate the kinetic energy of a body
• Determine the linear impulse and momentum of a body
• Analyze the equations and conditions used to determine the forces involving rectilinear
translation
• Describe centripetal and centrifugal force
• Describe the forces that impact the rotation of a rigid body without translation
• Explain the motion of a wheel, and calculate the magnitude of the linear acceleration and
friction forces
• Analyze the work-energy method as it applies to the motion and action of a body
iii
PRELIMINARY EXPLANATIONS PERTAINING TO KINETICS .
FORCE-MASS-ACCELERATION METHOD .....
Translation of Rigid Body
Rotation of Rigid Body without Translation
General Plane Motion of Rigid Body
23
WORK-ENERGY METHOD . . . . . . . . . . . . . . . . . . . . . . . . . 53
Application of Method for Translation
Other Applications of Work-Energy Method
IMPULSE-MOMENTUM METHOD . . . . . . .
Rectilinear Translation of Single Body
Collision of Two Bodies
PRACTICE PROBLEMS ANSWERS
EXAMINATION . . . . . . . . . .
. ........... 77
93
95
Engineering Nlechanics, Part 4
PRELIMINARY EXPLANATIONS PERTAINING
TO KINETICS
Scope of This Text
1
1 • In the preceding texts on engineering mechanics, we have discussed
separately the relations of forces in a system and the conditions of mo-
tion of bodies. In this text, we shall consider the relation between the
motion of a body and the force or forces acting on the body to produce
the motion. The basis for the relationship between motion and force
is Newton's second law of motion. However, there are three different
methods of applying this law. These are commonly called the force-
mass acceleration method, the work-energy method, and the impulse-
momentum method. Each method is most useful for solving certain
types of problems.
Statement of Newton's Second Law of Motion
2 • In Engineering Mechanics, Part 1, Newton's second law of motion was
stated as follows:
If a resultant force acts upon a particle, the particle will be accelerated
in the direction of the force. Furthermore, the magnitude of the accel-
eration will be directly proportional to the magnitude of the resultant
force and inversely proportional to the mass of the particle.
Newton's second law can be expressed mathematically by the following
equation:
F
a=k-
m
in which a = magnitude of the acceleration of a particle
k = a numerical factor
F = magnitude of the force acting upon the particle
m = mass of the particle
(1)
The mass of a particle is a measure of the exact amount of matter in
the particle. Any body is composed of a number of particles, and the
mass of a body is the sum of the masses of all the particles.

Wang1998

The document presents a new approach for dynamic analysis of parallel manipulators based on the principle of virtual work. It illustrates the approach using a simple 4-bar linkage example, calculating the inertial forces and moments, virtual displacements, and input torque. It then generalizes the approach for dynamic analysis of a 6 degree-of-freedom parallel manipulator like a Gough-Stewart platform. The approach leads to faster computation than traditional Newton-Euler methods by not requiring calculation of constraint forces between links.

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.

Computational Physics - modelling the two-dimensional gravitational problem b...

The document describes a C++ program that models the two-dimensional gravitational interaction between two point masses. The program uses Newton's laws of motion and gravitation to calculate the forces, accelerations, velocities, and positions of the two masses at each time step. It assumes the masses follow elliptical orbits and uses the orbital period and energy to determine the time step for its calculations. The program outputs the positions of the masses over time to a file that can be used to plot their orbital paths.

11 - 3 Experiment 11 Simple Harmonic Motio.docx

11 - 3
Experiment 11
Simple Harmonic Motion
Questions
How are swinging pendulums and masses on springs related? Why are these types of
problems so important in Physics? What is a spring’s force constant and how can you measure
it? What is linear regression? How do you use graphs to ascertain physical meaning from
equations? Again, how do you compare two numbers, which have errors?
Note: This week all students must write a very brief lab report during the lab period. It is
due at the end of the period. The explanation of the equations used, the introduction and the
conclusion are not necessary this week. The discussion section can be as little as three sentences
commenting on whether the two measurements of the spring constant are equivalent given the
propagated errors. This mini-lab report will be graded out of 50 points
Concept
When an object (of mass m) is suspended from the end of a spring, the spring will stretch
a distance x and the mass will come to equilibrium when the tension F in the spring balances the
weight of the body, when F = - kx = mg. This is known as Hooke's Law. k is the force constant
of the spring, and its units are Newtons / meter. This is the basis for Part 1.
In Part 2 the object hanging from the spring is allowed to oscillate after being displaced
down from its equilibrium position a distance -x. In this situation, Newton's Second Law gives
for the acceleration of the mass:
Fnet = m a or
The force of gravity can be omitted from this analysis because it only serves to move the
equilibrium position and doesn’t affect the oscillations. Acceleration is the second time-
derivative of x, so this last equation is a differential equation.
To solve: we make an educated guess:
Here A and w are constants yet to be determined. At t = 0 this solution gives x(t=0) = A,
which indicates that A is the initial distance the spring stretches before it oscillates. If friction is
negligible, the mass will continue to oscillate with amplitude A. Now, does this guess actually
solve the (differential) equation? A second time-derivative gives:
Comparing this equation to the original differential equation, the correct solution was
chosen if w2 = k / m. To understand w, consider the first derivative of the solution:
−kx = ma
a = −
k
m
⎛
⎝
⎜⎜⎜⎜
⎞
⎠
⎟⎟⎟⎟
x
d 2x
dt 2
= −
k
m
x x(t) = A cos(ωt)
d 2x(t)
dt 2
= −Aω2 cos(ωt) = −ω2x(t)
James Gering
Florida Institute of Technology
11 - 4
Integrating gives
We assume the object completes one oscillation in a certain period of time, T. This helps
set the limits of integration. Initially, we pull the object a distance A from equilibrium and
release it. So at t = 0 and x = A. (one.

Force Table Lab Partners Person 1, Person 2, Person 3, et.docx

Force Table
Lab Partners: Person 1, Person 2, Person 3, etc.
Instructor, T.A.: Your Instructor, Your TA
MM/DD/YY
ABSTRACT
This experiment was conducted to show how vectors affect one another- in particular,
how opposing vectors can be added up to cancel each other out to create a system in equilibrium,
which was done by hanging different masses over various angles on a force table. As a result,
each case showed that when summed all forces added to 0.
INTRODUCTION
Vectors are extremely important in physics, as they provide a way to show quantity that
has not only a magnitude, but a direction as well, which is extremely important when explaining
things like motion. Although these vectors are more complex than just a single number, they can
be manipulated by other vectors fairly easily. This makes combining certain measurements that
could involve a multitude of vectors, as well as manipulating a single vector as it can be added or
subtracted from itself, fairly simple.
This experiment showed the use of a force table to prove this manipulability with vectors
by setting mass as forces on certain angles in order to cancel each other out. This works as an
example because all three of the masses had some sort of force, in this case being caused by
acceleration due to gravity, being applied to them in the direction they were angled. It also
helped to demonstrate graphical methods for manipulating vectors by means of “tip-to-tail”
measurement. This type of measurement aids in the visual representation of vectors and gives
understanding to how a system of vectors looks when in equilibrium, in this case a quadrilateral
formed by four vectors of different magnitude and direction. A number of equations were used in
this experiment, and are as follows:
Instructor name.
Fx = 0Σ (1)
Fy = 0Σ (2)
Fx = Fcos( )θ (3)
Fy = Fsin( )θ (4)
g = 9.8 m/s2 (5)
F = mg (6)
Equations (1) and (2) show how F x and F y , the horizontal and vertical components of
force F (Newtons ), when in an equilibrium-system should sum to 0. Equations (3) and (4) show
how the force F is geometrically related to the horizontal and vertical components, respectively,
by means of angle (degrees ). Equation (5) is a constant that states how the acceleration due toθ
gravity, g (meters/second 2 ), is equal to 9.81. Equation (6) is a variation of Newton’s Second Law
that shows that the force due to gravity on an object is equivalent to g multiplied by mass m
(kilograms ).
PROCEDURE
The force table, which allows a central equilibrium to be reached by hanging multiple
masses at different angles, was set up with 3 points to be determined. The force table with a
3-pulley setup is seen in Figure 1. The pulleys were attached around the circumference with a
ring and three strings that could spin freely placed in the center of the table. The first trial
includ ...

EM Forces in Space.ppt

This document provides information about the ME13A Engineering Statics course at the University of the West Indies. It details the course lecturer, goals, objectives, content, assessment, textbook, and tutorial schedule. The course aims to introduce concepts of forces, couples and moments in two and three dimensions and develop relevant analytical skills. Upon completion, students should be able to determine force resultants, centroids, and apply problem-solving techniques. Assessment includes a mid-semester test, end-of-semester exam, and coursework assignments. Tutorial problems are assigned from specified chapters in the required textbook.

1 Lab 3 Newton’s Second Law of Motion Introducti.docx

1 Lab 3 Newton’s Second Law of Motion Introducti.docx

Statics week01

Statics week01

PART I.2 - Physical Mathematics

PART I.2 - Physical Mathematics

Engmech 01 (vectors)

Engmech 01 (vectors)

Topic 2.2

Topic 2.2

Coordinate systems

Coordinate systems

2. statics.pdf

2. statics.pdf

Kinetics of particle

Kinetics of particle

REPORT SUMMARYVibration refers to a mechanical.docx

REPORT SUMMARYVibration refers to a mechanical.docx

ModelingZillDiffEQ9_LecturePPTs_05_01.pptx

ModelingZillDiffEQ9_LecturePPTs_05_01.pptx

Curve fitting - Lecture Notes

Curve fitting - Lecture Notes

Radiation physics 2

Radiation physics 2

dynamics chapt 1 .pptx

dynamics chapt 1 .pptx

Study Unit Ill Engineerin M Part4 an1cs By And.docx

Study Unit Ill Engineerin M Part4 an1cs By And.docx

Wang1998

Wang1998

008 newton's second law of motion

008 newton's second law of motion

Computational Physics - modelling the two-dimensional gravitational problem b...

Computational Physics - modelling the two-dimensional gravitational problem b...

11 - 3 Experiment 11 Simple Harmonic Motio.docx

11 - 3 Experiment 11 Simple Harmonic Motio.docx

Force Table Lab Partners Person 1, Person 2, Person 3, et.docx

Force Table Lab Partners Person 1, Person 2, Person 3, et.docx

EM Forces in Space.ppt

EM Forces in Space.ppt

"DANH SÁCH THÍ SINH XÉT TUYỂN SỚM ĐỦ ĐIỀU KIỆN TRÚNG TUYỂN ĐẠI HỌC CHÍNH QUY ...

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Title: Relational Database Management System Concepts(RDBMS)
Description:
Welcome to the comprehensive guide on Relational Database Management System (RDBMS) concepts, tailored for final year B.Sc. Computer Science students affiliated with Alagappa University. This document covers fundamental principles and advanced topics in RDBMS, offering a structured approach to understanding databases in the context of modern computing. PDF content is prepared from the text book Learn Oracle 8I by JOSE A RAMALHO.
Key Topics Covered:
Main Topic : DATA INTEGRITY, CREATING AND MAINTAINING A TABLE AND INDEX
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Data Integrity,Types of Integrity, Integrity Constraints, Primary Key, Foreign key, unique key, self referential integrity,
creating and maintain a table, Modifying a table, alter a table, Deleting a table
Create an Index, Alter Index, Drop Index, Function based index, obtaining information about index, Difference between ROWID and ROWNUM
Target Audience:
Final year B.Sc. Computer Science students at Alagappa University seeking a solid foundation in RDBMS principles for academic and practical applications.
About the Author:
Dr. S. Murugan is Associate Professor at Alagappa Government Arts College, Karaikudi. With 23 years of teaching experience in the field of Computer Science, Dr. S. Murugan has a passion for simplifying complex concepts in database management.
Disclaimer:
This document is intended for educational purposes only. The content presented here reflects the author’s understanding in the field of RDBMS as of 2024.
Feedback and Contact Information:
Your feedback is valuable! For any queries or suggestions, please contact muruganjit@agacollege.in

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Title: Relational Database Management System Concepts(RDBMS)
Description:
Welcome to the comprehensive guide on Relational Database Management System (RDBMS) concepts, tailored for final year B.Sc. Computer Science students affiliated with Alagappa University. This document covers fundamental principles and advanced topics in RDBMS, offering a structured approach to understanding databases in the context of modern computing. PDF content is prepared from the text book Learn Oracle 8I by JOSE A RAMALHO.
Key Topics Covered:
Main Topic : DATA INTEGRITY, CREATING AND MAINTAINING A TABLE AND INDEX
Sub-Topic :
Data Integrity,Types of Integrity, Integrity Constraints, Primary Key, Foreign key, unique key, self referential integrity,
creating and maintain a table, Modifying a table, alter a table, Deleting a table
Create an Index, Alter Index, Drop Index, Function based index, obtaining information about index, Difference between ROWID and ROWNUM
Target Audience:
Final year B.Sc. Computer Science students at Alagappa University seeking a solid foundation in RDBMS principles for academic and practical applications.
About the Author:
Dr. S. Murugan is Associate Professor at Alagappa Government Arts College, Karaikudi. With 23 years of teaching experience in the field of Computer Science, Dr. S. Murugan has a passion for simplifying complex concepts in database management.
Disclaimer:
This document is intended for educational purposes only. The content presented here reflects the author’s understanding in the field of RDBMS as of 2024.

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"DANH SÁCH THÍ SINH XÉT TUYỂN SỚM ĐỦ ĐIỀU KIỆN TRÚNG TUYỂN ĐẠI HỌC CHÍNH QUY ...

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DANH SÁCH THÍ SINH XÉT TUYỂN SỚM ĐỦ ĐIỀU KIỆN TRÚNG TUYỂN ĐẠI HỌC CHÍNH QUY N...

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- 1. Verification of Newton’s Second Law of Motion by Atwood Machine PREPARED BY SL Name ID 1 FARIA, MAISHA 22-48478-3 2 SULTANA, SHARMIN 22-48479-3 3 MAZUMDER, REDWANUL HAQUE 22-48481-3 4 RAHMAN, FAHMIDA 22-48483-3
- 2. Contents THEORY APPARATUS PROCEDURE EXPERIMENTAL DATA ANALYSIS & CALCULATION RESULT DISCUSSION RESOURCES
- 3. 3 The net force(𝐹𝑛𝑒𝑡) on a body is equal to the product of the body’s mass (m) and its acceleration (𝑎). In vector equation form, 𝐹𝑛𝑒𝑡 = 𝑚𝑎 Newton's second law can be formally stated as, the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object. This statement is expressed in equation form as, a = 𝐹𝑛𝑒𝑡 m . Newton’s second law
- 4. Theory Considering the upward direction as positive, neglecting frication and mass of the pulley, and applying Newton’s law of motion we get for M: 𝐹𝑛𝑒𝑡 = 𝑀𝑔 − 𝑇 = 𝑀𝑎, for m: 𝐹𝑛𝑒𝑡 = T − mg = ma Solving these two equations, we get the theoretical acceleration as 𝑎𝑡ℎ = 𝑔 (𝑀+𝑚) (𝑀 − 𝑚) As acceleration due to gravity g is constant in a particular place and taking total mass (M + m) constant for the Atwood machine, according to Newton’s second law we get 𝑎𝑡ℎ ∝ (M – m) According to fig. applying the knowledge of equations of motion (D=ut +1/2 a𝑡2 ),we can calculate the experimental acceleration by 𝑎𝑒𝑥 = 2𝐷 𝑡2 4
- 5. Apparatus PULLEYS WEIGHT HANGERS STRING METER STICK STOP WATCH
- 6. 6 Procedure The lighter mass (m) was held on the floor while attached to an end of the string. At height (D) from the floor, the heavier mass (M) was attached to the other end of the string. The height (D) was measured with a measuring scale. The string was ran over the pulley in the vertical plain. The whole system was then released. The time for the heavier mass to fall onto the floor was measured. The experiment was ran for 7 different mass differences (M-m). It was made sure that (𝑀 + 𝑚 ≈ 700𝑔) was constant. Excel was used to plot graph of experimental data (a exp VS M-m) and the slope was found from the best fit line. A trend line was added to the graph. Slope was set (g/M-m) and was solved for (M + m). The percentage difference in (M + m) was found.
- 8. Graph of 𝒂𝒆𝒙 vs (M-m) 8 y = 1.3499x - 39.439 -100 -50 0 50 100 150 200 250 300 350 400 450 0 50 100 150 200 250 300 350 acceleration,aex(cm/s^2 difference of mass,(M-m)(gm) aex VS (M-m)graph
- 9. Analysis and Calculation The slop of the straight line: From the graph- Slope= 𝑔 𝑀+𝑚 = 1.3499 Or, M+m = 𝑔 𝑠𝑙𝑜𝑝𝑒 = 980 1.3499 =725.98gm Error of : Error= 725.98−700 700 × 100 = 3.712% 9
- 10. Result 10 From the ‘acceleration vs mass difference’ graph, the relationship between experimental acceleration and mass difference is proportional linear for the Atwood machine same as the theory says. Thus we can say that newton’s second law is 725.98gm.
- 11. Discussion Readings might not have been taken to eye level here measuring height. Reaction time while taking reading from she-watch might have affected our result. Take minimum 3 reading of time from a stop-watch and then calculate mean value to minimize errors. As there are lots of variables, calculation should be done carefully. The string wasn't moving freely because of some frictional Problem.
- 12. Thank you!

- Where, aex = experimental acceleration, D is the distance traveled by the object during time t. If 𝑀 > 𝑚, the acceleration, a, with which the whole system moves is given by, where, ath = theoretical acceleration and (g) is the acceleration due to gravity (9.80 m/s2 ).