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 15, Problem 7RQ
What is semipermanent-mold casting?
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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 15 Solutions
Degarmo's Materials And Processes In Manufacturing
Ch. 15 - What are some of the major disadvantages of the...Ch. 15 - What are some possible limitations of multiple-use...Ch. 15 - Prob. 3RQCh. 15 - Prob. 4RQCh. 15 - Why do permanent-mold castings generally have...Ch. 15 - Prob. 6RQCh. 15 - What is semipermanent-mold casting?Ch. 15 - Why might low production runs be unattractive for...Ch. 15 - Prob. 9RQCh. 15 - In addition to the mold cavity, what additional...
Ch. 15 - Prob. 11RQCh. 15 - Prob. 12RQCh. 15 - Prob. 13RQCh. 15 - Prob. 14RQCh. 15 - Prob. 15RQCh. 15 - Prob. 16RQCh. 15 - What types of products would be possible...Ch. 15 - Prob. 18RQCh. 15 - What are the most common die-cast materials?Ch. 15 - Contrast the materials used to make dies for...Ch. 15 - Prob. 21RQCh. 15 - Prob. 22RQCh. 15 - Prob. 23RQCh. 15 - Prob. 24RQCh. 15 - Prob. 25RQCh. 15 - Prob. 26RQCh. 15 - How does the air in the mold cavity escape in the...Ch. 15 - Are risers employed in die casting? Can sand cores...Ch. 15 - Prob. 29RQCh. 15 - Give some examples of cast-in inserts.Ch. 15 - Prob. 31RQCh. 15 - Prob. 32RQCh. 15 - Prob. 33RQCh. 15 - Prob. 34RQCh. 15 - Prob. 35RQCh. 15 - What is a thixotropic material? How does it...Ch. 15 - What are some of the attractive features of...Ch. 15 - Describe the inner surface profile of true...Ch. 15 - Prob. 39RQCh. 15 - Prob. 40RQCh. 15 - Prob. 41RQCh. 15 - Prob. 42RQCh. 15 - Prob. 43RQCh. 15 - What types of equipment are used by foundries to...Ch. 15 - What are some of the factors that influence the...Ch. 15 - What are some of the possible feedstock materials...Ch. 15 - What types of metals are commonly melted in...Ch. 15 - What are some of the ways that the melting rate of...Ch. 15 - What are some of the pros and cons of indirect...Ch. 15 - Prob. 50RQCh. 15 - Prob. 51RQCh. 15 - Prob. 52RQCh. 15 - What are the primary functions of a pouring...Ch. 15 - Prob. 54RQCh. 15 - Prob. 55RQCh. 15 - What are some common ways to remove cores from...Ch. 15 - Prob. 57RQCh. 15 - Prob. 58RQCh. 15 - What is the difference between infiltration and...Ch. 15 - Prob. 60RQCh. 15 - What are some of the ways that industrial robots...Ch. 15 - Prob. 62RQCh. 15 - Prob. 63RQCh. 15 - Attractive properties for casting alloys include...Ch. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Select two of the methods used to produce and hold...Ch. 15 - Prob. 7PCh. 15 - Discuss the various features that this component...Ch. 15 - Prob. 3CSCh. 15 - Prob. 4CSCh. 15 - Prob. 5CSCh. 15 - Prob. 6CS
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