PLEASE ANSWER QUICKLY (c) Examine the response of the differential equation governing the free response;4.6 × 10-¹2 +4.39 × 10-7x +0.380x = 0, if it has an initial velocity of 30 m/sand an initial displacement of 0 m. Analyze the value of the displacement at t = 1µs?The response for initial condition is x(t) =Wd-5 wnt sin wat

Answered: Image /qna-images/answer/ca787817-7671-495c-bfcb-91bba4c6464d.jpg

Answered: =-) Examine the response of 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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A mass and a spring system is subjected to an external harmonic excitation of 40cos20t (N). Find the response for the following givens: K =4000 N/m. m = 10 kg, Xo = 0.1m and vo = 0 m/s %3D Select one: 0.1cos20t +0.1tsin20t O 0.18cos30t -0.08cos30t 0.1cos20t - tsin20t O 0.08cos20t + 0.5sin30t – 0.08cos30t TOSHIBA
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Q1 The mass of the mass-spring-damper system in the figure is subjected to an externally applied periodic force F(t) = 16 sin4t at time t = 0. Using Laplace transform, determine 1 the resulting displacement x(t) of the mass at time t given that x(0) = and x'(0) = 1. 2 B = 6 K = 16 x(t) M = 1 F(t) = 16 sin4t
Problem 1: Laplace Transforms For a spring-mass-damper system with the following characteristics m = 70 k= 707 C = 69 Xo = 0 m/s Vo = 0 m/s If an forcing function F(t) = 100tet N is applied to the box at t = 0s, find x(t) for the system analytically. HINT: I STRONGLY suggest that you use the Laplace transform method. Please box your final x(t), and plot your solution.

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