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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Textbook Question
Chapter 8, Problem 8RQ
Describe and differentiate the two means of forming polymers: addition polymerization and condensation polymerization.
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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 8 Solutions
Degarmo's Materials And Processes In Manufacturing
Ch. 8 - Discuss the terms plastics and polymers. In...Ch. 8 - What are some naturally occurring nonmetallic...Ch. 8 - What are some material families that would be...Ch. 8 - How might plastics be defined from the viewpoints...Ch. 8 - What is the primary type of atomic bonding within...Ch. 8 - What is the difference between a saturated and an...Ch. 8 - What is an isomer?Ch. 8 - Describe and differentiate the two means of...Ch. 8 - What is a mer?Ch. 8 - What is degree of polymerization?
Ch. 8 - How does increasing the chain length tend to...Ch. 8 - In what way are copolymers similar to alloys in...Ch. 8 - Describe and differentiate thermoplastic and...Ch. 8 - Describe the mechanism by which thermoplastic...Ch. 8 - What does it mean when a polymer crystallizes? How...Ch. 8 - What are some of the ways that a thermoplastic...Ch. 8 - What are the four most common thermoplastic...Ch. 8 - Why are thermosetting polymers characteristically...Ch. 8 - How do thermosetting polymers respond to...Ch. 8 - Describe how thermoplastic or thermosetting...Ch. 8 - What are some attractive engineering properties of...Ch. 8 - What are some limiting properties of plastics, and...Ch. 8 - What are some environmental conditions that might...Ch. 8 - What is the most common polymer (accounting for...Ch. 8 - What are some reasons that additive agents are...Ch. 8 - What are some functions of a filler material in a...Ch. 8 - What are some of the more common filler materials...Ch. 8 - What is the function of a plasticizer?Ch. 8 - What is the difference between a dye and a...Ch. 8 - What is the role of a stabilizer or antioxidant?Ch. 8 - How might electrical conductivity be imparted to a...Ch. 8 - What is an oriented plastic, and what is the...Ch. 8 - What are some properties and characteristics of...Ch. 8 - Describe the use of plastic materials as...Ch. 8 - What are some potential benefits of using plastics...Ch. 8 - Describe some of the applications for foamed...Ch. 8 - Provide some examples where plastics have competed...Ch. 8 - What are some features of plastics that make them...Ch. 8 - In a cost comparison, why might cost per unit...Ch. 8 - How has the use of plastics grown in the...Ch. 8 - What kinds of plastics are most easily recycled?Ch. 8 - Why is the recycling of mixed plastics more...Ch. 8 - What are some recycling alternatives for...Ch. 8 - What are some of the natural materials used to...Ch. 8 - What are some of the approaches to producing a...Ch. 8 - What is the unique mechanical property of...Ch. 8 - How can cross�linking be used to control the...Ch. 8 - What is the cause of stress relaxation in...Ch. 8 - What are some of the materials that can be added...Ch. 8 - What are some of the limitations of natural...Ch. 8 - What are some of the common artificial elastomers?Ch. 8 - Prob. 52RQCh. 8 - Prob. 53RQCh. 8 - Prob. 54RQCh. 8 - Prob. 55RQCh. 8 - Prob. 56RQCh. 8 - Prob. 57RQCh. 8 - Prob. 58RQCh. 8 - Prob. 59RQCh. 8 - What kinds of ceramic products are classified as...Ch. 8 - Prob. 61RQCh. 8 - Prob. 62RQCh. 8 - Prob. 63RQCh. 8 - What is the unique feature of piezoelectric...Ch. 8 - Prob. 65RQCh. 8 - Prob. 66RQCh. 8 - Prob. 67RQCh. 8 - What are cermets, and what properties or...Ch. 8 - What are some of the attractive features of a...Ch. 8 - Prob. 70RQCh. 8 - Prob. 71RQCh. 8 - Prob. 72RQCh. 8 - Prob. 73RQCh. 8 - Prob. 74RQCh. 8 - Prob. 75RQCh. 8 - Prob. 76RQCh. 8 - Prob. 77RQCh. 8 - What is a composite material?Ch. 8 - What are the basic features of a composite...Ch. 8 - Prob. 80RQCh. 8 - Prob. 81RQCh. 8 - Prob. 82RQCh. 8 - What are some reasons for creating clad...Ch. 8 - Prob. 84RQCh. 8 - Prob. 85RQCh. 8 - Prob. 86RQCh. 8 - Prob. 87RQCh. 8 - Prob. 88RQCh. 8 - Prob. 89RQCh. 8 - Prob. 90RQCh. 8 - Prob. 91RQCh. 8 - What is the most common matrix material used in...Ch. 8 - Prob. 93RQCh. 8 - What are the attractive features of a...Ch. 8 - Prob. 95RQCh. 8 - Prob. 96RQCh. 8 - Prob. 97RQCh. 8 - Prob. 98RQCh. 8 - Prob. 99RQCh. 8 - Prob. 100RQCh. 8 - Prob. 101RQCh. 8 - Prob. 102RQCh. 8 - What are some of the limitations that might...Ch. 8 - Prob. 104RQCh. 8 - Prob. 105RQCh. 8 - Prob. 1PCh. 8 - Many of the materials presented in this chapter...Ch. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Locate a current or recent article describing an...Ch. 8 - The array of medical devices spans a wide range of...Ch. 8 - Use the Internet and other sources to research...Ch. 8 - Prob. 2CSCh. 8 - The US Army helmet has evolved from sheet steel,...Ch. 8 - Prob. 4CS
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