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 33, Problem 3RQ
What are some of the manufacturing changes or new approaches that have been enabled by the computer?
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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 33 Solutions
Degarmo's Materials And Processes In Manufacturing
Ch. 33 - What are the four traditional families of...Ch. 33 - What are some of the assets and limitations of the...Ch. 33 - What are some of the manufacturing changes or new...Ch. 33 - Prob. 4RQCh. 33 - What is a prototype and how is it used?Ch. 33 - What are the four areas of application for the...Ch. 33 - What are some of the other terms that have been...Ch. 33 - What are the attractive benefits of free-form...Ch. 33 - What is involved in preprocessing?Ch. 33 - Prob. 10RQ
Ch. 33 - Prob. 11RQCh. 33 - Prob. 12RQCh. 33 - Prob. 13RQCh. 33 - What are the three families of layerwise...Ch. 33 - Prob. 15RQCh. 33 - Prob. 16RQCh. 33 - Prob. 17RQCh. 33 - What is stairstepping?Ch. 33 - Describe the coordinate system that has become...Ch. 33 - Prob. 20RQCh. 33 - What are some of the factors that affect the...Ch. 33 - What is hatching and how might it be affected by...Ch. 33 - Prob. 23RQCh. 33 - Of the three components of build time...Ch. 33 - Prob. 25RQCh. 33 - How the various layers produced during...Ch. 33 - Prob. 27RQCh. 33 - Prob. 28RQCh. 33 - Prob. 29RQCh. 33 - Prob. 30RQCh. 33 - Prob. 31RQCh. 33 - What are the advantages of inkjet deposition (ID)...Ch. 33 - How are the various layers produced during...Ch. 33 - Prob. 34RQCh. 33 - Prob. 35RQCh. 33 - How might the products of selective laser...Ch. 33 - Prob. 37RQCh. 33 - Why might some form of protective atmosphere be...Ch. 33 - Prob. 39RQCh. 33 - What is the difference between selective laser...Ch. 33 - Describe the ideal product for manufacture by...Ch. 33 - What are some of the advantages of using an...Ch. 33 - How are the various layers produced during 3-D...Ch. 33 - Prob. 44RQCh. 33 - Prob. 45RQCh. 33 - Prob. 46RQCh. 33 - Prob. 47RQCh. 33 - What are some of the potential benefits of...Ch. 33 - Prob. 49RQCh. 33 - Prob. 50RQCh. 33 - What are some of the advantages and disadvantages...Ch. 33 - Prob. 52RQCh. 33 - Prob. 53RQCh. 33 - Prob. 54RQCh. 33 - Prob. 55RQCh. 33 - How are products extracted after a...Ch. 33 - Prob. 57RQCh. 33 - Prob. 58RQCh. 33 - Prob. 59RQCh. 33 - What are some of the advantages of a physical...Ch. 33 - Prob. 61RQCh. 33 - How can the additive manufacturing processes be...Ch. 33 - Prob. 63RQCh. 33 - Prob. 64RQCh. 33 - Prob. 65RQCh. 33 - Prob. 66RQCh. 33 - Prob. 67RQCh. 33 - Prob. 68RQCh. 33 - Prob. 69RQCh. 33 - What are some of the commonly cited limitations or...Ch. 33 - Prob. 71RQCh. 33 - Prob. 72RQCh. 33 - Prob. 73RQCh. 33 - Prob. 74RQCh. 33 - Which of the additive manufacturing processes can...Ch. 33 - Prob. 2PCh. 33 - Prob. 3PCh. 33 - The ability to restore worn parts to original...Ch. 33 - Prob. 5PCh. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8P
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