2 ProblemThe transfer function of the mass-spring-damper system discussed above is determined to be:G(s)-X(s)F(s)=100s²+5s+100where x(t) is the displacement of the mass and f(t) is an arbitrary force input. We wish to studyhow the system responds to changing the frequency of the input, w when the forcing function isa sinusoid f(t) = A sin(wt) with A = 2. As part of your analysis, the following is requested: 1. Find an analytical expression for the sinusoidal transfer function and simplify it such thatit has real and imaginary part in the form:G(iw) Gx+iGy=(In other words, ensure there are no complex numbers in the denominator.)2. Find an analytical expression for the the steady-state output-input ratio as a function offrequency |G(iw)|3. Find an analytical expression for the phase of the response, &, as a function of frequency4. Write an expression for the steady state response, x(t), as a function of frequency usingyour answers above. The only variables on the right-hand-side of your expression shouldbe w and t.

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The transfer function of the mass-spring-damper system discussed above is determined to be: G(s) = X(s) F(s) = 100 s²+5s+100 where x(t) is the displacement of the mass and f(t) is an arbitrary force input. We wish to study how the system responds to changing the frequency of the input, w when the forcing function is a sinusoid f(t) = A sin(wt) with A = 2. As part of your analysis, the following is requested:

The transfer function of the mass-spring-damper system discussed above is determined to be: G(s) = X(s) F(s) = 100 s²+5s+100 where x(t) is the displacement of the mass and f(t) is an arbitrary force input. We wish to study how the system responds to changing the frequency of the input, w when the forcing function is a sinusoid f(t) = A sin(wt) with A = 2. As part of your analysis, the following is requested:

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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