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 22, Problem 10RQ
To determine
The discoveries or for what else F.W.Taylor is known for.
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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 22 Solutions
Degarmo's Materials And Processes In Manufacturing
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Ch. 22 - Prob. 11RQCh. 22 - Discuss the constraints in the selection of a...Ch. 22 - What does cemented mean in the manufacture of...Ch. 22 - What advantage do ground carbide inserts have over...Ch. 22 - What is a chip groove?Ch. 22 - What is the DCL?Ch. 22 - Suppose you made four beams out of carbide, HSS,...Ch. 22 - Multiple coats or layers are put on the carbide...Ch. 22 - What tool material would you recommend for...Ch. 22 - What makes the process that makes TiC coatings for...Ch. 22 - Why does a TiN-coated tool consume less power than...Ch. 22 - For what work material are CBN tools more commonly...Ch. 22 - Why is CBN better for machining steel than...Ch. 22 - What is the typical coefficient of variation for...Ch. 22 - What is meant by the statement Tool life is a...Ch. 22 - The typical value of a coefficient of variation in...Ch. 22 - Machinability is defined in many ways. Explain how...Ch. 22 - What are the chief functions of cutting fluids?Ch. 22 - Prob. 29RQCh. 22 - Why is the PVD process used to coat HSS tools?Ch. 22 - Why is there no universal cutting tool material?Ch. 22 - What is an 18-4-1 HSS composed of?Ch. 22 - Over the years, tool materials have been developed...Ch. 22 - Why is the rigidity of the machine tool an...Ch. 22 - Explain how it can be that the tool wears when it...Ch. 22 - What is a honed edge on a cutting tool and why is...Ch. 22 - Suppose you have a turning operation using a tool...Ch. 22 - A 2 in.-diameter bar of steel was turned at 284...Ch. 22 - Prob. 3PCh. 22 - The following data have been obtained for...Ch. 22 - In the insert is set with a 0 side cutting-edge...Ch. 22 - Prob. 6PCh. 22 - Here is a single point tool. Identify angles A...Ch. 22 - Figure 22.B gives data for cutting speed and tool...
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