For the spring-mass-damper system shown to the right, x is measured from the static equi- librium position, and the surface is friction- less. a) Determine the governing equations of m motion. 6 k 2 c b) What is the period of each oscilla- tion in terms of the system parameters (т, k, с)? c) For what value of c is the system criti- cally damped? d) If the system is released with the initial conditions: x(0) = 0.0 m, à (0) = 5.0 m/s, find the resulting solution x(t) if m = 2 kg, k = 48 N/m and c= 4 N/(m/s).

For the spring-mass-damper system shown to the right, x is measured from the static equi- librium position, and the surface is friction- less. a) Determine the governing equations of m motion. 6 k 2 c b) What is the period of each oscilla- tion in terms of the system parameters (т, k, с)? c) For what value of c is the system criti- cally damped? d) If the system is released with the initial conditions: x(0) = 0.0 m, à (0) = 5.0 m/s, find the resulting solution x(t) if m = 2 kg, k = 48 N/m and c= 4 N/(m/s).

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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