Automotive Technology: A Systems Approach - With Manual and Access
6th Edition
ISBN: 9781305513235
Author: ERJAVEC
Publisher: Cengage
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Chapter 3, Problem 3RQ
Explain Newton’s second law of motion and give an example of how this law is used in automotive theory.
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An aluminum rod of length L
=
1m has mass density p = 2700 kg and
Young's modulus E = 70 GPa. The rod is fixed at both ends. The exact
natural eigenfrequencies of the rod are wexact
E
=
√
ρ
for n=1,2,3,. . . .
1. What is the minimum number of linear elements necessary to
determine the fundamental frequency w₁ of the system? Discretize
the rod in that many elements of equal length, assemble the global
system of equations KU = w² MU, and find the fundamental
frequency w₁. Compute the relative error e₁ = (w1 - wexact) /w exact
Sketch the fundamental mode of vibration.
2. Use COMSOL to solve the same problem. Show the steps necessary
to find the fundamental frequency and mode of the rod. What is the
relative error using linear elements and a normal mesh?
Chapter 3 Solutions
Automotive Technology: A Systems Approach - With Manual and Access
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 - The nucleus of an atom contains and
Ch. 3 - Which of the following is the correct formula used...Ch. 3 - Work is calculated by multiplying by.Ch. 3 - Prob. 13RQCh. 3 - Name three types of simple machines.Ch. 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 - Explain why elastic mounts are used to connect the...Ch. 3 - Vacuum is defined as the absence ofCh. 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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