The displacement of a forced oscillator is zero at time t 0

Last updated: 6/9/2023

The displacement of a forced oscillator is zero at time t 0 and its rate of growth is governed by the rate of decay of the transient term If this term decays to e k of its original value in a time t show that for small damping the average rate of growth of the oscillations is given by xo t Fo 2kmwo where xo is the maximum steady state displacement Fo is the force amplitude and w s m