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 9, Problem 7CS
Would there be any concerns relating to environment? Recycling? Product liability?
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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 9 Solutions
Degarmo's Materials And Processes In Manufacturing
Ch. 9 - What is the objective of a manufacturing...Ch. 9 - What are some undesirable features of...Ch. 9 - What problems are created by the availability of...Ch. 9 - In a manufacturing environment, why should the...Ch. 9 - How has the material balance shifted in the...Ch. 9 - How have different materials enabled advances and...Ch. 9 - Discuss the interrelation between engineering...Ch. 9 - What is design?Ch. 9 - What are the three primary stages of product...Ch. 9 - What are some of the features to be considered in...
Ch. 9 - What is the benefit of requiring prototype...Ch. 9 - What sequence of activities is common to nearly...Ch. 9 - Prob. 13RQCh. 9 - What is the most frequent pitfall when seeking to...Ch. 9 - What should be the first step in any materials...Ch. 9 - In what ways does the concept of shape or geometry...Ch. 9 - Prob. 17RQCh. 9 - Describe some of the possible mechanical...Ch. 9 - How might temperature enter into the specification...Ch. 9 - What are some physical properties of materials?Ch. 9 - What are some of the important aspects of the...Ch. 9 - What are some of the possible manufacturing...Ch. 9 - Why is it important to resist jumping to the...Ch. 9 - Prob. 24RQCh. 9 - What is the difference between an absolute and...Ch. 9 - Prob. 26RQCh. 9 - Prob. 27RQCh. 9 - Prob. 28RQCh. 9 - Give an example of a product or component where...Ch. 9 - What are some possible considerations relating to...Ch. 9 - Prob. 31RQCh. 9 - Prob. 32RQCh. 9 - Prob. 33RQCh. 9 - Prob. 34RQCh. 9 - Prob. 35RQCh. 9 - Why might material selection and process selection...Ch. 9 - Give an example of where selection of a material...Ch. 9 - Why is it likely that compromise, opinion, and...Ch. 9 - Why is it likely that multiple individuals will be...Ch. 9 - Why should the design and manufacture of a...Ch. 9 - Give an example where an unexpected problem might...Ch. 9 - Prob. 42RQCh. 9 - What are some of the different types of useful...Ch. 9 - How have high�speed, high�capacity computers...Ch. 9 - Prob. 1PCh. 9 - The chalk tray on a classroom chalkboard has very...Ch. 9 - Prob. 3PCh. 9 - Examine the properties of wood, aluminum, and...Ch. 9 - Automobile body panels have been made from carbon...Ch. 9 - Prob. 6PCh. 9 - Go to the local hardware or building supply store...Ch. 9 - Prob. 8PCh. 9 - Decorative fence posts for a residential home have...Ch. 9 - The individual turbine blades used in the exhaust...Ch. 9 - Prob. 11PCh. 9 - Hockey sticks are currently available in wood,...Ch. 9 - The 2019 Corvette C8 has moved to a mid�engine,...Ch. 9 - What is the normal use or uses of this product or...Ch. 9 - Prob. 2CSCh. 9 - Prob. 3CSCh. 9 - Prob. 4CSCh. 9 - Prob. 5CSCh. 9 - Prob. 6CSCh. 9 - Would there be any concerns relating to...
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