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 3, Problem 47RQ
What is warm working?
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Y
F1
α
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X
F2
You and your friends are planning to move the log. The log.
needs to be moved straight in the x-axis direction and it
takes a combined force of 2.9 kN. You (F1) are able to exert
610 N at a = 32°. What magnitude (F2) and direction (B) do
you needs your friends to pull?
Your friends had to pull at:
magnitude in Newton, F2
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direction in degrees, ẞ =
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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.
Chapter 3 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 3 - What enables us to control the properties and...Ch. 3 - Â What are the next levels of structure that are...Ch. 3 - Prob. 3RQCh. 3 - Prob. 4RQCh. 3 - Prob. 5RQCh. 3 - Prob. 6RQCh. 3 - What are the three types of primary bonds, and...Ch. 3 - What are some general characteristics of...Ch. 3 - Prob. 9RQCh. 3 - Prob. 10RQ
Ch. 3 - Prob. 11RQCh. 3 - Prob. 12RQCh. 3 - Prob. 13RQCh. 3 - What are some unique property features of...Ch. 3 - Prob. 15RQCh. 3 - Prob. 16RQCh. 3 - Prob. 17RQCh. 3 - What are some of the general characteristics of...Ch. 3 - Prob. 19RQCh. 3 - Prob. 20RQCh. 3 - Prob. 21RQCh. 3 - Prob. 22RQCh. 3 - Prob. 23RQCh. 3 - Prob. 24RQCh. 3 - What is a grain? A grain boundary?Ch. 3 - Prob. 26RQCh. 3 - What is implied by a low ASTM grain�size number?...Ch. 3 - Prob. 28RQCh. 3 - What is Poissons ratio, and under what conditions...Ch. 3 - What is plastic deformation?Ch. 3 - Why do metals retain their strength during plastic...Ch. 3 - Prob. 32RQCh. 3 - Prob. 33RQCh. 3 - What is a dislocation? Using the carpet analogy,...Ch. 3 - What is the difference between an edge dislocation...Ch. 3 - What are some of the common barriers to...Ch. 3 - Prob. 37RQCh. 3 - What is the mechanism (or mechanisms) responsible...Ch. 3 - Why is a fine grain size often desired in an...Ch. 3 - What is an anisotropic property? Why might...Ch. 3 - What is the difference between brittle fracture...Ch. 3 - How does a metal increase its internal energy...Ch. 3 - What is required in order to drive the...Ch. 3 - How might the lowest recrystallization temperature...Ch. 3 - In what ways can recrystallization be used to...Ch. 3 - What is the major distinguishing feature between...Ch. 3 - What is warm working?Ch. 3 - How can deformation and recrystallization improve...Ch. 3 - Why is grain growth usually undesirable?Ch. 3 - Prob. 50RQCh. 3 - As a result of their ionic or covalent bonding,...Ch. 3 - Prob. 52RQCh. 3 - Prob. 53RQCh. 3 - What is the difference between an intrinsic...Ch. 3 - What is required for electrical conductivity in...Ch. 3 - What is required for electrical conductivity in...Ch. 3 - Brass is an alloy of copper with a certain amount...Ch. 3 - It is not uncommon for processing operations to...Ch. 3 - Polyethylene consists of fibrous molecules of...Ch. 3 - Prob. 5P
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