Answered: ibrations Question The governing…

ibrations Question The governing equation of motion of a single degree–of–freedom (SDOF) system is given by 5xdoubledot(t)+20xdot(t)+1800x(t)=10cos(15t)+30sin(5t) (assume the units are Newtons)

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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Question

Vibrations Question

The governing equation of motion of a single degree–of–freedom (SDOF) system is given by

5xdoubledot(t)+20xdot(t)+1800x(t)=10cos(15t)+30sin(5t)
(assume the units are Newtons)

and the initial conditions of the system are given as
x(0)=0.02m and v(0)=0.95m/s
Analytically obtain the total response of the system

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