Automotive Technology: A Systems Approach (MindTap Course List)
6th Edition
ISBN: 9781133612315
Author: Jack Erjavec, Rob Thompson
Publisher: Cengage Learning
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Textbook Question
Chapter 50, Problem 11RQ
Which of the following can lead to brake hose failure?
- Improperly matched fittings
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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
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
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.
www.m
k₁ = 3
(y₁ = 0).
m₁ = 1
k2=2
(y₂ = 0)
|m₂ = 1
Y2
y 2
System in
static
equilibrium
(Net change in
spring length
=32-31)
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)
Chapter 50 Solutions
Automotive Technology: A Systems Approach (MindTap Course List)
Ch. 50 - Explain why bleeding air out of a hydraulic system...Ch. 50 - Explain why modern hydraulic braking systems are...Ch. 50 - Describe the functions of the hydraulic system...Ch. 50 - When the brakes are applied on a moving car, the...Ch. 50 - What is the purpose of the master cylinder vent...Ch. 50 - What is the purpose of the master cylinder...Ch. 50 - Explain why a height-sensing proportioning valve...Ch. 50 - A three-function combination valve has a brake...Ch. 50 - Explain how vacuum is used to provide a power...Ch. 50 - The purpose of the master cylinder is to. generate...
Ch. 50 - Which of the following can lead to brake hose...Ch. 50 - True or False? Metering and proportioning valves...Ch. 50 - Which type of brake requires greater application...Ch. 50 - Which of the following is not a factor in...Ch. 50 - Which of the following could cause an extremely...Ch. 50 - A vehicles power brakes are grabbing: Technician A...Ch. 50 - While discussing what affects the amount of...Ch. 50 - The metering valve portion of a combination valve...Ch. 50 - While discussing quick take-up master cylinders:...Ch. 50 - While bleeding a brake system: Technician A...Ch. 50 - The basic frictional parts of a brake system are...Ch. 50 - Vehicle dynamics during braking are being...Ch. 50 - Pressure bleeding is being discussed: Technician A...Ch. 50 - Technician A says that the master cylinder should...Ch. 50 - The hydraulic system of the hydro-boost and...
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