Vibrations and Waves · Problem 4-17

Coupled oscillators and normal modes — A.P. French

Physics — Waves · power-resonance-oscillator

Problem

The graph shows the mean power absorbed by an oscillator when driven by a force of constant magnitude but variable angular frequency

\omega

. (a) At exact resonance, how much work per cycle is being done against the resistive force? (Period

= 2\pi/\omega

.) (b) At exact resonance, what is the total mechanical energy

E_0

of the oscillator? (c) If the driving force is turned off, how many seconds does it take before the energy decreases to a value

E = E_0 e^{-1}