4.12. Figure 4.20 plots the magnitude of the steady-state oscillation of a mass sub- jected to a vibrating base. For some applications, such as an automotive suspension, the magnitude of the response is not the critical factor, but rather the net force to which the mass is subjected. 1. Determine an expression for the force to which the mass illustrated in Figure 4.18 is subjected. 2. Manipulate the expression for the force so that it is in the form of f=-khMycos(cot + o). Explain the interpretation of the term Mf, which is called the force transmissi- bility. Plot My as a function of /0,, for various damping ratios to make a plot similar to Figure 4.20. displacement transmissibilty C 2 1 0.5 0 0 1 2 3 3 C=0.2 C=0.4 =0.6 C=0.8 C=1.0 Fig. 4.20 Displacement transmissibility as a function of frequency ratio and damping ratio.
4.12. Figure 4.20 plots the magnitude of the steady-state oscillation of a mass sub- jected to a vibrating base. For some applications, such as an automotive suspension, the magnitude of the response is not the critical factor, but rather the net force to which the mass is subjected. 1. Determine an expression for the force to which the mass illustrated in Figure 4.18 is subjected. 2. Manipulate the expression for the force so that it is in the form of f=-khMycos(cot + o). Explain the interpretation of the term Mf, which is called the force transmissi- bility. Plot My as a function of /0,, for various damping ratios to make a plot similar to Figure 4.20. displacement transmissibilty C 2 1 0.5 0 0 1 2 3 3 C=0.2 C=0.4 =0.6 C=0.8 C=1.0 Fig. 4.20 Displacement transmissibility as a function of frequency ratio and damping ratio.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please add a clear step by step solution with explanation
![4.12. Figure 4.20 plots the magnitude of the steady-state oscillation of a mass sub-
jected to a vibrating base. For some applications, such as an automotive suspension,
the magnitude of the response is not the critical factor, but rather the net force to
which the mass is subjected.
1. Determine an expression for the force to which the mass illustrated in Figure 4.18
is subjected.
2. Manipulate the expression for the force so that it is in the form of
f = -khMfcos(@t+o).
Explain the interpretation of the term Mf, which is called the force transmissi-
bility. Plot Mf as a function of w/@n for various damping ratios to make a plot
similar to Figure 4.20.
displacement transmissibilty
2.5
2
1.5
1
0.5
0
0
1
2
@n
= 0.2
= 0.4
=0.6
=0.8
= 1.0
4
5
Fig. 4.20 Displacement transmissibility as a function of frequency ratio and damping ratio.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a0a5ea8-ad8e-4285-a3d6-a06220c808d0%2F46d73f56-66ee-45c4-a28f-cb14fb75bf3e%2Fi84k8pd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.12. Figure 4.20 plots the magnitude of the steady-state oscillation of a mass sub-
jected to a vibrating base. For some applications, such as an automotive suspension,
the magnitude of the response is not the critical factor, but rather the net force to
which the mass is subjected.
1. Determine an expression for the force to which the mass illustrated in Figure 4.18
is subjected.
2. Manipulate the expression for the force so that it is in the form of
f = -khMfcos(@t+o).
Explain the interpretation of the term Mf, which is called the force transmissi-
bility. Plot Mf as a function of w/@n for various damping ratios to make a plot
similar to Figure 4.20.
displacement transmissibilty
2.5
2
1.5
1
0.5
0
0
1
2
@n
= 0.2
= 0.4
=0.6
=0.8
= 1.0
4
5
Fig. 4.20 Displacement transmissibility as a function of frequency ratio and damping ratio.
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