Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 30, Problem 51SDP
Comment on workpiece size and shape limitations for each of the processes described in this chapter.
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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
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
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.
www.m
k₁ = 3
(y₁ = 0).
m₁ = 1
k2=2
(y₂ = 0)
|m₂ = 1
Y2
y 2
System in
static
equilibrium
(Net change in
spring length
=32-31)
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)
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)
Chapter 30 Solutions
Manufacturing Engineering & Technology
Ch. 30 - Describe fusion as it relates to welding...Ch. 30 - Explain the features of neutralizing, reducing,...Ch. 30 - What is stick welding?Ch. 30 - Explain the basic principles of arc-welding...Ch. 30 - Why is shielded metal-arc welding a commonly...Ch. 30 - What keeps the weld bead on a steel surface...Ch. 30 - Describe the functions and characteristics of...Ch. 30 - What are the similarities and differences between...Ch. 30 - What properties are useful for a shielding gas?Ch. 30 - What are the advantages to thermit welding?
Ch. 30 - Explain where the energy is obtained in...Ch. 30 - Explain how cutting takes place when an...Ch. 30 - What is the purpose of flux? Why is it not needed...Ch. 30 - What is meant by weld quality? Discuss the...Ch. 30 - How is weldability defined?Ch. 30 - Why are welding electrodes generally coated?Ch. 30 - Describe the common types of discontinuities...Ch. 30 - Prob. 18RQCh. 30 - Explain why hydrogen welding can be used to...Ch. 30 - Prob. 20RQCh. 30 - Prob. 21QLPCh. 30 - It has been noted that heat transfer in gas-metal...Ch. 30 - Explain why some joints may have to be...Ch. 30 - Describe the role of filler metals in welding.Ch. 30 - List the processes that can be performed with...Ch. 30 - What is the effect of the thermal conductivity of...Ch. 30 - Describe the differences between oxyfuel-gas...Ch. 30 - Could you use oxyfuel-gas cutting for a stack of...Ch. 30 - What are the advantages of electron-beam and...Ch. 30 - Describe the methods by which discontinuities...Ch. 30 - Explain the significance of the stiffness of the...Ch. 30 - Prob. 32QLPCh. 30 - Which of the processes described in this chapter...Ch. 30 - Prob. 34QLPCh. 30 - Prob. 35QLPCh. 30 - Comment on the factors involved in electrode...Ch. 30 - Prob. 38QLPCh. 30 - Prob. 39QLPCh. 30 - Prob. 40QLPCh. 30 - Prob. 41QLPCh. 30 - What is weld spatter? What are its sources? How...Ch. 30 - Describe your observations concerning Fig. 30.20.Ch. 30 - Prob. 44QLPCh. 30 - Plot the hardness in Fig. 30.20d as a function of...Ch. 30 - A welding operation will take place on carbon...Ch. 30 - In Fig. 30.26b, assume that most of the top...Ch. 30 - A welding operation takes place on an...Ch. 30 - An arc welding operation is taking place on carbon...Ch. 30 - Comment on workpiece size and shape limitations...Ch. 30 - Arc blow is a phenomenon where the magnetic...Ch. 30 - Review the types of welded joints shown in Fig....Ch. 30 - Comment on the design guidelines given in...Ch. 30 - Prob. 55SDPCh. 30 - Prob. 56SDPCh. 30 - Make a list of welding processes that are suitable...Ch. 30 - Prob. 58SDPCh. 30 - Prob. 59SDPCh. 30 - Review the poor and good joint designs shown...Ch. 30 - In building large ships, there is a need to weld...Ch. 30 - Prob. 62SDPCh. 30 - Comment on whether there are common factors...Ch. 30 - Prob. 64SDPCh. 30 - Lattice booms for cranes are constructed from...Ch. 30 - A common practice in repairing expensive broken...
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