EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 9780100793439
Author: KALPAKJIAN
Publisher: YUZU
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Textbook Question
Chapter 35, Problem 48SDP
Conduct an Internet search, and make a list of the method you would use for length measurement as a function of the length (e.g., a few mm versus a km).
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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 35 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 35 - What is metrology?Ch. 35 - Explain how a meter is defined and measured.Ch. 35 - Explain what is meant by standards for...Ch. 35 - What is the basic difference between...Ch. 35 - What is meant by comparative length measurement?Ch. 35 - Explain how flatness is measured. What is an...Ch. 35 - Describe the principle of an optical comparator.Ch. 35 - Why have coordinate measuring machines...Ch. 35 - What is the difference between a plug gage and...Ch. 35 - What are dimensional tolerances? Why is their...
Ch. 35 - Prob. 11RQCh. 35 - Explain the difference between tolerance and...Ch. 35 - What is the difference between bilateral and...Ch. 35 - How is straightness measured?Ch. 35 - When is a clearance fit desirable? An interference...Ch. 35 - What factors contribute to deviations in the...Ch. 35 - Why are the words accuracy and precision...Ch. 35 - Prob. 18QLPCh. 35 - Prob. 19QLPCh. 35 - Prob. 20QLPCh. 35 - Dimensional tolerances for nonmetallic parts...Ch. 35 - Prob. 22QLPCh. 35 - Review Fig. 35.20, and comment on the range...Ch. 35 - In the game of darts, is it better to be accurate...Ch. 35 - What are the advantages and limitations of GO...Ch. 35 - Comment on your observations regarding Fig. 35.19.Ch. 35 - What are gage blocks? Explain three methods...Ch. 35 - Why is it important to control temperature during...Ch. 35 - Describe the characteristics of electronic gages.Ch. 35 - What method would you use to measure the...Ch. 35 - Prob. 31QLPCh. 35 - Review Fig. 35.21 and give reasons that there is a...Ch. 35 - Assume that a steel rule expands by 0.07% due to...Ch. 35 - If the same steel rule as in Problem 35.33 is used...Ch. 35 - A shaft must meet a design requirement of being at...Ch. 35 - Describe your thoughts on the merits and...Ch. 35 - Take an ordinary vernier micrometer (see Fig....Ch. 35 - Obtain a digital micrometer and a steel ball of,...Ch. 35 - Prob. 41SDPCh. 35 - Prob. 42SDPCh. 35 - Inspect various parts and components in...Ch. 35 - Prob. 45SDPCh. 35 - Prob. 46SDPCh. 35 - Prob. 47SDPCh. 35 - Conduct an Internet search, and make a list of...Ch. 35 - Prob. 49SDP
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