HERIOT-WATT UNIVERSITY SCHOOL OF ENGINEERING AND PHYSICAL SCIENCES (MECHANICAL ENGINEERING) MECHANICAL ENGINEERING SCIENCE 3 (B58EC1) DYNAMICS LABORATORY : WHEEL AND AXLE ACCELERATION

Objective: To predict the time taken for a wheel to roll on its axle, down a slope using energy methods Theory: Energy Method Release Ød or radius r After descent h v m/sec m kg I kg.m2 ØD or radius R

Figure 1. Energy in a rolling wheel Referring to Figure 1 when the wheel is released from rest and subsequently rolls down the slope, it accelerates and hence gains energy. Now for a rolling wheel the kinetic energy has two components, translational due to the bodily movement of the mass centre down the slope and rotational due to the wheel spin. Now the source of this energy is the loss in potential energy as the wheel moves down the slope. If it is reasonable to assume that friction effects are insignificant then no energy is lost. Thus the loss in potential energy becomes a gain in kinetic energy. Hence, Loss in potential energy = mgh, is equal to the Gain in kinetic energy = 0.5mv2 + 0.5Iω 2 where v = velocity of the mass centre down slope (m/sec) ω = angular velocity of wheel (rad/sec) = v/r, r is the axle radius when rolling I = Polar moment of inertia = mR2/2 (1) (2)

Applying conservation of energy, equate equations 1 and 2 to derive an expression for the velocity v at the bottom of the slope. Using the linear equations of motion, find the expression for time t. Show these derivations in your report.

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Experiment: Using the measured distances (100mm to 500mm, intervals of 100mm) travelled by the wheel and the expressions i.e. (1) velocity at bottom of slope and (2) acceleration down the slope, calculate the time taken for the wheel to roll down the slope. Compare the calculated values with the experimental data Discussions: Plot a graph of time t2 vs distance s for calculated and experimental data. Explain the discrepancies between calculated values and...

...
Wheel/axle assembly report
Contents
1. Terms of reference
This report is completed as requirement for the outcome two Relationship between Linear and Angular Motion.
A rotating wheel travelling along a surface has both angular motion and linear motion. Hence it will possess kinetic energy due to its linear velocity called kinetic...

...Laboratory TitleWheel and Axle Acceleration |
Objective: To predict the time taken for a wheel to roll on its axle, down a slope using the energy method.
Theory:
Release
Energy Method
Ød or radius r
After descent
m kg
I kg.m2
h
v m/sec
ØD or radius R
Figure 1. Energy in a rolling wheel
Referring to Figure 1 when the wheel is released from rest and subsequently rolls down the slope, it...

...a measure of the amount of rotation an object has, taking into account its mass, shape and speed. It is a vector quantity that represents the product of a body's rotational inertia and rotational velocity about a particular axis.”
(wikipedia) This lab procedure allows us to observe the conservation of angular momentum in a collision. Since the net force is directed always toward the center, then there is no torque on the body with respect to the center, and so the angular...

...conservation of mechanical energy
Section: 8
Name: Ahmed Atari
University ID: 201103848
Instructor: Ahmed Zainelabdin
Submission date: May 1, 2014
Objective: the purpose of this lab is to investigate the law of conservation of energy. This can be achieved by measuring both potential and kinetic energy through the experiment conducted.
Back ground:
Kinetic energy is said to be the energy of motion....

...Experiment Title: Torsion Vibration.
Introduction : Torsion is the twisting of a metallic rod shaped object, when a torque is applied on two sides’ perpendicular to the radius of a uniform cross-sectional bar.
Objective : Determining the natural frequency of a system undergoing tortional vibration.
Theory : Using Newton’s second law of tortional system.
( [pic] …………………. ( Equation 1 )
where Io = mass moment of inertia of the disk
Hence, [pic]...

...City University of Hong Kong
Dept. of Physics & Materials Science
AP2104 Mechanics of Solids
Laboratory Manual
Experiment 1 Pure Bending of a Beam
Experiment 2 Torsional Deformations
Experiment 3 Yield Criteria for Ductile Materials under Plane Stresses
Experiment 1
Pure Bending of a Beam
Objective
1. To examine the stresses at various positions of the beam under a constant load of pure bending.
2. To determine the curvature of deflection of the beam....

...conducted on 13th August 2008 in Machines Dynamics Laboratory. The experiment was conducted in groups of four, and was supervised by lecturer Mr. Mohd Azahari Johan. Conducting this experiment is for fulfilling the requirements of Applied Mechanics Lab (MEC 424).
A pendulum is defined as body so suspended from a fixed point as to swing freely to and from by the alternate action of gravity and momentum. It is used to regulate the movements of clockwork and other machinery....

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