Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 33, Problem 16QLP
To determine
Give several examples that show the importance of friction in manufacturing processes described in Parts III and IV.
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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 33 Solutions
Manufacturing Engineering & Technology
Ch. 33 - What is tribology?Ch. 33 - Explain what is meant by (a) surface texture and...Ch. 33 - List and explain the types of defects typically...Ch. 33 - Define the terms (a) roughness, and (b) waviness.Ch. 33 - Explain why the results from a profilometer are...Ch. 33 - Prob. 6RQCh. 33 - List the types of wear generally observed in...Ch. 33 - Define the terms wear, friction, and lubricant.Ch. 33 - How can adhesive wear be reduced? Abrasive wear?Ch. 33 - Prob. 10RQ
Ch. 33 - Explain the functions of a lubricant in...Ch. 33 - Prob. 12RQCh. 33 - Prob. 13RQCh. 33 - Describe the factors involved in lubricant...Ch. 33 - Prob. 15RQCh. 33 - Prob. 16QLPCh. 33 - Explain the significance of the fact that the...Ch. 33 - Prob. 18QLPCh. 33 - Explain why identical surface-roughness values do...Ch. 33 - Prob. 20QLPCh. 33 - Prob. 21QLPCh. 33 - Prob. 22QLPCh. 33 - Prob. 23QLPCh. 33 - Comment on the surface roughness of various parts...Ch. 33 - Prob. 25QLPCh. 33 - Do the same as for Problem 33.25, but for surface...Ch. 33 - Describe your observations regarding Fig. 33.7.Ch. 33 - Give the reasons that an originally round specimen...Ch. 33 - Prob. 29QLPCh. 33 - Explain the reason that the abrasive-wear...Ch. 33 - Prob. 31QLPCh. 33 - List the similarities and differences between...Ch. 33 - Explain why the types of wear shown in Fig. 33.11...Ch. 33 - List the requirements of a lubricant.Ch. 33 - List manufacturing operations in which high...Ch. 33 - List manufacturing operations in which high wear...Ch. 33 - Prob. 37QLPCh. 33 - Prob. 38QTPCh. 33 - A surface with a triangular sawtooth roughness...Ch. 33 - List the steps you would follow if you wished to...Ch. 33 - Discuss the tribological differences between...Ch. 33 - Section 33.2 listed major surface defects. How...Ch. 33 - Describe your own thoughts regarding biological...Ch. 33 - Prob. 48SDPCh. 33 - Prob. 49SDPCh. 33 - Prob. 50SDPCh. 33 - Describe your thoughts on the desirability of...
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