(Solved): Consider a spring-mass-damper system that is initially at rest, a step input is introduced to the ...

Consider a spring-mass-damper system that is initially at rest, a step input is introduced to the mass as shown below: k E m f(t) f(t) Fo a. Use convolution integral to find the transient response x(t) of the system. b. Show that the response is identical to the undamped case (derived in the notes) when = 0.