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 9, Problem 8RQ
What is design?
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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 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 - 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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