The differential equation shown models a spring-mass-damper system excited by an oscillatory input, U. For thissystem, determine the steady state motion as a function ofinput frequency, m, and amplitude, A, using the sinusoidaltransfer function expressions; the output is the velocity, v.dvт — + сv %3DUdt

Answered: Image /qna-images/answer/661d0898-d68a-427a-b24d-abb22eaf3713.jpg

Answered: ential equation shown models a spring…

ential equation shown models a spring "stem excited by an oscillatory input, U etermine the steady state motion as a fi uency, w, and amplitude, A, using the

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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

The differential equation shown models a spring-mass-
damper system excited by an oscillatory input, U. For this
system, determine the steady state motion as a function of
input frequency, m, and amplitude, A, using the sinusoidal
transfer function expressions; the output is the velocity, v.
dv
т — + сv %3DU
dt

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