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DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Textbook Question
Chapter 11, Problem 15RQ
Magnetic particle inspection is limited to the inspection of what materials?
Expert Solution & Answer
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15 cm
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The 2-mass system shown below depicts a disk which rotates about its center and has rotational
moment of inertia Jo and radius r. The angular displacement of the disk is given by 0. The spring
with constant k₂ is attached to the disk at a distance from the center. The mass m has linear
displacement & and is subject to an external force u. When the system is at equilibrium, the spring
forces due to k₁ and k₂ are zero. Neglect gravity and aerodynamic drag in this problem. You may
assume the small angle approximation which implies (i) that the springs and dampers remain in
their horizontal / vertical configurations and (ii) that the linear displacement d of a point on the
edge of the disk can be approximated by d≈re.
Ө
K2
www
m
4
Cz
777777
Jo
Make the following assumptions when analyzing the forces and torques:
тв
2
0>0, 0>0, x> > 0, >0
Derive the differential equations of motion for this dynamic system. Start by sketching
LARGE and carefully drawn free-body-diagrams for the disk and the…
A linear system is one that satisfies the principle of superposition. In other words, if an input u₁
yields the output y₁, and an input u2 yields the output y2, the system is said to be linear if a com-
bination of the inputs u = u₁ + u2 yield the sum of the outputs y = y1 + y2.
Using this fact, determine the output y(t) of the following linear system:
given the input:
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=
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U(s)
=
s+1
s+10
u(t) = e−2+ sin(t)
=e
Chapter 11 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 11 - What is the purpose of nondestructive examination...Ch. 11 - Why must destructive testing be performed on a...Ch. 11 - Prob. 3RQCh. 11 - What quality�related features can a hardness...Ch. 11 - Prob. 5RQCh. 11 - What are some possible objectives of...Ch. 11 - What are some factors that should be considered...Ch. 11 - How might the costs of nondestructive testing...Ch. 11 - Prob. 9RQCh. 11 - Prob. 10RQ
Ch. 11 - Prob. 11RQCh. 11 - Describe the sequence of activity in a liquid...Ch. 11 - What types of defects can be detected in a liquid...Ch. 11 - What is the basic principle of magnetic particle...Ch. 11 - Magnetic particle inspection is limited to the...Ch. 11 - Prob. 16RQCh. 11 - What is the major limitation of sonic testing,...Ch. 11 - Prob. 18RQCh. 11 - Prob. 19RQCh. 11 - What are three types of ultrasonic inspection...Ch. 11 - Prob. 21RQCh. 11 - What types of radiation can be used in...Ch. 11 - Prob. 23RQCh. 11 - What are penetrameters, and how are they used in...Ch. 11 - Although radiographs offer a graphic image that...Ch. 11 - Prob. 26RQCh. 11 - Prob. 27RQCh. 11 - What types of detection capabilities are offered...Ch. 11 - Prob. 29RQCh. 11 - Prob. 30RQCh. 11 - Prob. 31RQCh. 11 - How can temperature be used to reveal defects?Ch. 11 - Prob. 33RQCh. 11 - What are some of the ways to evaluate strains...Ch. 11 - What kinds of product features can be evaluated by...Ch. 11 - What type of information can be obtained through...Ch. 11 - What are some of the techniques that can be used...Ch. 11 - Why is it necessary to determine the distinction...Ch. 11 - A manufacturing company routinely specifies...Ch. 11 - For each of the inspection methods listed, cite...Ch. 11 - Prob. 3PCh. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - The pulse�echo ultrasonic technique can be used...Ch. 11 - If V for a particular metal is 5000 m/sec and a...Ch. 11 - With nondestructive inspection methods using wave...Ch. 11 - Your overall container is restricted to the size...Ch. 11 - If additional funds could be provided to upgrade...
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