The following equation describes the motion of a certain mass connected to a spring, with viscous friction on the surface

 

where f(t) is an applied force. Suppose that f (t) = 0 for t + 0 and f (t) = 10 for t ≥ 0.

a. Plot y(t) for y(0) = ẏ(0) = 0.

b. Plot y(t) for y(0) = 0 and ẏ(0) = 10. Discuss the effect of the nonzero initial velocity.

Transcribed Image Text:

3y + 18y + 102y = f(t)