Derive an expression for the steady-state amplitude of a damped
PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
Derive an expression for the steady-state amplitude Amax of a damped, driven harmonic oscillator at resonance and show explicitly that Amax varies inversely with the damping constant.
Your derivation should start from the standard differential equation of a damped oscillator subjected to a periodic driving force and should clearly state any approximations or conditions under which the final relation holds.