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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Textbook Question
Chapter 10, Problem 34RQ
What tolerances are added to gages when they are being designed?
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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 10 Solutions
Degarmo's Materials And Processes In Manufacturing
Ch. 10 - What are some of the advantages to the consumer of...Ch. 10 - DFMÂ stands for design for manufacturing. Why is...Ch. 10 - Explain the difference between attributes and...Ch. 10 - Prob. 4RQCh. 10 - What are the four basic measures upon which all...Ch. 10 - What are gage blocks?Ch. 10 - Why do gage blocks come in sets?Ch. 10 - Prob. 8RQCh. 10 - What is the difference between accuracy and...Ch. 10 - What is the difference between tolerance and...
Ch. 10 - Prob. 11RQCh. 10 - Prob. 12RQCh. 10 - Why might you use a shrink fit to join the wheels...Ch. 10 - Explain the difference between repeatability and...Ch. 10 - When measuring time, is it more important to be...Ch. 10 - Prob. 16RQCh. 10 - What factors should be considered in selecting...Ch. 10 - Prob. 18RQCh. 10 - What is parallax? (Why do linesmen in tennis sit...Ch. 10 - Explain the rule of 10 in terms of tolerances.Ch. 10 - How does the vernier caliper work to make...Ch. 10 - What are the two most likely sources of error in...Ch. 10 - What is the major disadvantage of a micrometer...Ch. 10 - What is the main advantage of a micrometer over...Ch. 10 - What is the major difficulty in obtaining an...Ch. 10 - Why is the toolmakers microscope particularly...Ch. 10 - What are the ways that linear measurements can be...Ch. 10 - What type of instrument would you select for...Ch. 10 - What are the chief disadvantages of using a vision...Ch. 10 - What is a CMM (coordinate measuring machine)?Ch. 10 - Prob. 31RQCh. 10 - How can the no�go member of a plug gage be...Ch. 10 - What is the primary precaution that should be...Ch. 10 - What tolerances are added to gages when they are...Ch. 10 - Explain how a go/no�go ring gage works to check...Ch. 10 - Why are air gages particularly well suited for...Ch. 10 - Explain the principle of measurement by...Ch. 10 - How does a toolmakers flat differ from an optical...Ch. 10 - Prob. 1PCh. 10 - Read the 25�division vernier graduated in metric...Ch. 10 - In Figure 10.C , the sleeve�thimble region of...Ch. 10 - Suppose that in Figure 10.31 the height of the...Ch. 10 - What is the estimated error in this measurement,...Ch. 10 - Figure 10.D shows the sleeve�thimble region of...Ch. 10 - In Figure 10.E , two examples of a metric...Ch. 10 - Prob. 8PCh. 10 - Figure 10.F shows a section of a vernier...Ch. 10 - Here is a table that provides a description of...
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