Question

A spring-mass system, with m = 100 kg and k = 400 N/m, is subjected to a harmonic force

f(t)= F0 cos (wt) with F0 = 10 N. Find the response of the system when v is equal to (a) 2

rad/s, (b) 0.2 rad/s, and (c) 20 rad/s.

Answer 1

Here is a brief summary of the responses of the spring-mass system for each given value of w:

For w = 2 rad/s: x(t) = 0.0125 * cos(2t - phi)

For w = 0.2 rad/s: x(t) = 0.125 * cos(0.2t - phi)

For w = 20 rad/s: x(t) = 3.75e-5 * cos(20t - phi)

Note that the phase shift phi is not given in the problem, so it is not possible to determine its value.