Coupled oscillators and normal modes — A.P. French
Physics — Waves · forced-oscillations-energy
Problem
(a) A forced damped oscillator of mass m has a displacement varying with time given by x=Asinωt. The resistive force is −bv. From this information calculate how much work is done against the resistive force during one cycle of oscillation.
(b) For a driving frequency ω less than the natural frequency ω0, sketch graphs of potential energy, kinetic energy, and total energy for the oscillator over one complete cycle. Be sure to label important turning points and intersections with their values of energy and time.