Consider the damped forced motion governed by my00 +cy0 +ky = Acos(! Show that the maximum amplitude of the steady-state solution is achieved if ! is...

Consider the damped forced motion governed by my00 +cy0 +ky = Acos(!t).Show that the maximum amplitude of the steady-state solution is achieved if ! is chosen sothat!2 =km −c22m2In building a seismic detector, we would try to choose k, c, and m so that !2 is as near tothis value as possible in order to maximize the response of the instrument.