Automotive Technology
7th Edition
ISBN: 9781337794213
Author: ERJAVEC, Jack.
Publisher: Cengage,
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Chapter 3, Problem 6FITB
Vacuum is defined as the absence of
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Problem 1 (30 Points)
Consider the following 2 scenarios. In scenario 1, a mass m slides on a cylindrical surface of radius R. In
scenario 2, a mass m hangs at the end of a thin massless rod of length R. In both scenarios, there is no
friction either on the surface (scenario 1), or at the pivot point of the pendulum (scenario 2). Also in
both scenarios, there is one generalized coordinate, .
R
Scenario 1
R
m
R
g
Scenario 2
m
HINT: In both scenarios, it is much easier to choose your datum for potential energy as the center of the
bowl (scenario 1), or the pivot point of the pendulum (scenario 2).
Part I
a) Determine the Lagrangian for each system. DO NOT FIND THE EQUATIONS OF MOTION (5 points)
b) What can you say about the systems based on the Lagrangian? (2 points)
c) Solve for the equations of motion for both systems. (8 points)
Part II
Now, for scenario 1, introduce an additional coordinate and treat it as a nonholonomic system to
determine the normal force acting on the mass.
a)…
Consider 0.65 kg of N2 at 300 K, 1 bar contained in a rigid tank connected by a valve to another rigid tank holding 0.3 kg of CO2 at 300 K, 1 bar. The valve is opened and gases are allowed to mix, achieving an equilibrium state at 290 K. Determine: (a) the volume of each tank, in m³. (b) the final pressure, in bar. (c) the magnitude of the heat transfer to or from the gases during the process, in kJ. (d) the entropy change of each gas and of the overall system, in kJ/K.
(Read Image) (Answer: ω = 1.10 rad/sec CW)
Chapter 3 Solutions
Automotive Technology
Ch. 3 - Describe Newtons first law of motion and give an...Ch. 3 - In what four states does matter exist? Cite...Ch. 3 - Explain Newtons second law of motion and give an...Ch. 3 - Describe five different forms of energy.Ch. 3 - Describe four different types of energy...Ch. 3 - Explain why a rotating, tilted wheel moves in the...Ch. 3 - Why are gases and liquids considered fluids?Ch. 3 - Describe how out-of-balance forces can affect the...Ch. 3 - Describe the effect of pressure on an enclosed...Ch. 3 - Explain why elastic mounts are used to connect the...
Ch. 3 - Name three types of simple machines.Ch. 3 - The nucleus of an atom contains andCh. 3 - Prob. 2FITBCh. 3 - When one object is moved over another object, the...Ch. 3 - Weight is the measurement of the earths on an...Ch. 3 - Torque is a force that does work with a action.Ch. 3 - Vacuum is defined as the absence ofCh. 3 - Which of the following is the correct formula used...Ch. 3 - While discussing different types of energy:...Ch. 3 - While discussing friction in matter: Technician A...Ch. 3 - While discussing mass and weight: Technician A...Ch. 3 - When applying the principles of work and force,...Ch. 3 - All these statements about energy and energy...Ch. 3 - Which of the following is not a true statement...
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