Introduction to Classical Mechanics · Problem 4.29

Conservation of energy and momentum — Morin

Physics — Mechanics · driven-harmonic-motion

Problem

Resonance Given

\omega

and

\gamma

, show that the

R

in Eq. (4.33) is minimum when

\omega_d = \sqrt{\omega^2 - 2\gamma^2}

(unless this is imaginary, in which case the minimum occurs at

\omega_d = 0