Automotive Technology: Principles, Diagnosis, and Service Plus MyLab Automotive with Pearson eText -- Access Card Package (5th Edition) (Automotive Comprehensive Books)
5th Edition
ISBN: 9780134009087
Author: James D. Halderman
Publisher: PEARSON
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Textbook Question
Chapter 22, Problem 2CQ
Oil change intervals as specified by the vehicle manufacturer __________.
- a. are maximum time and mileage intervals
- b. are minimum time and mileage intervals
- c. only include miles driven between oil changes
- d. generally only include time between oil changes
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100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
• Analytically (hand calculations)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
for the first 15 sec. The graph must be fully formatted by code.
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
(y₁ = 0)
www
k₁ = 3
Jm₁ = 1
k2=2
www
(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Produce an animation of the system for all solutions for the first minute.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
Chapter 22 Solutions
Automotive Technology: Principles, Diagnosis, and Service Plus MyLab Automotive with Pearson eText -- Access Card Package (5th Edition) (Automotive Comprehensive Books)
Ch. 22 - What property of oil does the SAE ratings reflect?Ch. 22 - Prob. 2RQCh. 22 - Why is the oil filter bypassed when the engine oil...Ch. 22 - What are the steps in performing an oil change?Ch. 22 - The W in SAE 5W-20 means ___________. a. weight b....Ch. 22 - Oil change intervals as specified by the vehicle...Ch. 22 - Most conventional (mineral) oil is made from what...Ch. 22 - Which rating is the ACEA rating specified for use...Ch. 22 - Prob. 5CQCh. 22 - Technician A says that some vehicle manufacturers...
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