Degarmo's Materials And Processes In Manufacturing
13th Edition
ISBN: 9781119492825
Author: Black, J. Temple, Kohser, Ronald A., Author.
Publisher: Wiley,
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Chapter 11, Problem 15RQ
Magnetic particle inspection is limited to the inspection of what materials?
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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 11 Solutions
Degarmo's Materials And Processes In Manufacturing
Ch. 11 - What is the purpose of nondestructive examination...Ch. 11 - Why must destructive testing be performed on a...Ch. 11 - Prob. 3RQCh. 11 - What quality�related features can a hardness...Ch. 11 - Prob. 5RQCh. 11 - What are some possible objectives of...Ch. 11 - What are some factors that should be considered...Ch. 11 - How might the costs of nondestructive testing...Ch. 11 - Prob. 9RQCh. 11 - Prob. 10RQ
Ch. 11 - Prob. 11RQCh. 11 - Describe the sequence of activity in a liquid...Ch. 11 - What types of defects can be detected in a liquid...Ch. 11 - What is the basic principle of magnetic particle...Ch. 11 - Magnetic particle inspection is limited to the...Ch. 11 - Prob. 16RQCh. 11 - What is the major limitation of sonic testing,...Ch. 11 - Prob. 18RQCh. 11 - Prob. 19RQCh. 11 - What are three types of ultrasonic inspection...Ch. 11 - Prob. 21RQCh. 11 - What types of radiation can be used in...Ch. 11 - Prob. 23RQCh. 11 - What are penetrameters, and how are they used in...Ch. 11 - Although radiographs offer a graphic image that...Ch. 11 - Prob. 26RQCh. 11 - Prob. 27RQCh. 11 - What types of detection capabilities are offered...Ch. 11 - Prob. 29RQCh. 11 - Prob. 30RQCh. 11 - Prob. 31RQCh. 11 - How can temperature be used to reveal defects?Ch. 11 - Prob. 33RQCh. 11 - What are some of the ways to evaluate strains...Ch. 11 - What kinds of product features can be evaluated by...Ch. 11 - What type of information can be obtained through...Ch. 11 - What are some of the techniques that can be used...Ch. 11 - Why is it necessary to determine the distinction...Ch. 11 - A manufacturing company routinely specifies...Ch. 11 - For each of the inspection methods listed, cite...Ch. 11 - Prob. 3PCh. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - The pulse�echo ultrasonic technique can be used...Ch. 11 - If V for a particular metal is 5000 m/sec and a...Ch. 11 - With nondestructive inspection methods using wave...Ch. 11 - Your overall container is restricted to the size...Ch. 11 - If additional funds could be provided to upgrade...
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