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(ωt+φ).Explain the interpretation of the term Mf , which is called the force transmissi- bility. Plot Mf as a function of ω/ωn for various damping ratios to make a plot similar to Figure 4.20. x(t)Vbmwwwwk▲ y(t)2h 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 towhich the mass is subjected.1. Determine an expression for the force to which the mass illustrated in Figure 4.18is subjected.2. Manipulate the expression for the force so that it is in the form off = -khMfcos(wt+p).Explain the interpretation of the term Mf, which is called the force transmissi-bility. Plot Mƒ as a function of w/wn for various damping ratios to make a plotsimilar to Figure 4.20.

Given: To find: Expression for force Plot Mf as a function of ωωn

Answered: 4.12. Figure 4.20 plots the magnitude…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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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(ωt+φ). Explain the interpretation of the term Mf , which is called the force transmissi- bility. Plot Mf as a function of ω/ωn for various damping ratios to make a plot similar to Figure 4.20.

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