A mass-spring-damper system is described by the model
m + c + kx = f (t)
Where m = 0.25 slug, c = 2 lb-sec/ft, k = 25 lb/ft, and f(t) (lb) is the externally applied force shown in Figure. The forcing function can be expanded in a Fourier series as follows:
f(t) = - (sin3f + 1/3 sin9t + 1/5 sin15t + 1/7sin2t +.....+1/n sin3nt ± ...) n odd
Find an approximate description of the output xss(t) at steady state, using only those input components that lie within the bandwidth.

Transcribed Image Text:

fo 0.33 π | 0.66π 10.99 π | 1.32m -0.25π