The following equation describes the motion of a certain mass connected to a spring, with no friction

 

where f(t) is an applied force. Suppose the applied force is sinusoidal with a frequency of ω rad/s and an amplitude of 10 N: f (t) = 10 sin(ωt).

Suppose that the initial conditions are y(0) = ẏ(0) = 0. Plot y(t) for 0 ≤ t ≤ 20 s. Do this for the following three cases. Compare the results of each case.

a. ω = 1 rad/s

b. ω = 5 rad/s

c. ω = 10 rad/s

Transcribed Image Text:

3y + 75y = f(t)