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 7, Problem 52RQ
To determine
The metals are a combination of metals that makes the base of superalloy.
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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 7 Solutions
Degarmo's Materials And Processes In Manufacturing
Ch. 7 - What types of properties do nonferrous metals...Ch. 7 - For what respects are the nonferrous metals...Ch. 7 - In what ways might the nonferrous metals offer...Ch. 7 - Prob. 4RQCh. 7 - Prob. 5RQCh. 7 - Prob. 6RQCh. 7 - What properties of copper make it attractive for...Ch. 7 - Prob. 8RQCh. 7 - Prob. 9RQCh. 7 - Why does the copper designation system separate...
Ch. 7 - What are some of the attractive engineering...Ch. 7 - Why might cold�worked brass require a stress...Ch. 7 - Why might the term bronze be potentially...Ch. 7 - What are some attractive engineering properties of...Ch. 7 - Prob. 15RQCh. 7 - Prob. 16RQCh. 7 - Prob. 17RQCh. 7 - Prob. 18RQCh. 7 - Prob. 19RQCh. 7 - What is the primary benefit of aluminum recycling...Ch. 7 - Prob. 21RQCh. 7 - Prob. 22RQCh. 7 - Prob. 23RQCh. 7 - Prob. 24RQCh. 7 - How is the corrosion�resistance mechanism...Ch. 7 - Why do aluminum and aluminum alloys present...Ch. 7 - How are the wrought alloys distinguished from the...Ch. 7 - Prob. 28RQCh. 7 - Prob. 29RQCh. 7 - What unique combination of properties is offered...Ch. 7 - Prob. 31RQCh. 7 - Why are aluminum–silicon alloys popular for...Ch. 7 - What specific material properties might make an...Ch. 7 - Prob. 34RQCh. 7 - What are some possible applications of aluminum...Ch. 7 - Prob. 36RQCh. 7 - Describe the designation system applied to...Ch. 7 - Prob. 38RQCh. 7 - Prob. 39RQCh. 7 - How does the ability to strengthen magnesium...Ch. 7 - Prob. 41RQCh. 7 - Prob. 42RQCh. 7 - Prob. 43RQCh. 7 - Prob. 44RQCh. 7 - Prob. 45RQCh. 7 - What feature is used in the designation of...Ch. 7 - What are some of the primary application areas for...Ch. 7 - Prob. 48RQCh. 7 - Prob. 49RQCh. 7 - Prob. 50RQCh. 7 - What are the distinct characteristics of...Ch. 7 - Prob. 52RQCh. 7 - Prob. 53RQCh. 7 - Prob. 54RQCh. 7 - Prob. 55RQCh. 7 - Prob. 56RQCh. 7 - What temperature is generally considered to be the...Ch. 7 - Prob. 58RQCh. 7 - Prob. 59RQCh. 7 - Prob. 60RQCh. 7 - What are some applications of depleted uranium?...Ch. 7 - Prob. 62RQCh. 7 - Prob. 63RQCh. 7 - Prob. 64RQCh. 7 - What are some of the medical applications of...Ch. 7 - Prob. 66RQCh. 7 - Prob. 1PCh. 7 - Identify or select a product in which a magnesium...Ch. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - In 2008, The US Environmental Protection Agency...Ch. 7 - For each of the materials identified, determine...Ch. 7 - There are various pairings between the ball and...Ch. 7 - Which of the preceding combinations would you...Ch. 7 - Prob. 1.4CSCh. 7 - Prob. 1.5CSCh. 7 - Prob. 2.1CSCh. 7 - Prob. 2.2CS
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