DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Chapter 33, Problem 39RQ
To determine
The designed support unnecessary in selective laser sintering.
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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)
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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- 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)arrow_forwardthis is answer to a vibrations question. in the last part it states an assumption of x2, im not sure where this assumption comes from. an answer would be greatly appreciatedarrow_forwardPlease answer with the sketches.arrow_forward
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