1. The problem statement, all variables and given/known data A damped harmonic oscillator has mass m , spring constant k , damping force - cv . (a) Find the ratio of two successive maxima of the oscillations. (b) If the oscillator has Q = 100 , how many periods will it take for the amplitude to decay to 1/ e of it’s initial value? What fraction of the initial energy the oscillator has left by this time? 2. Relevant equations 3. The attempt at a solution Okay, so for a) T_d=2pi/omega_d = 2pi/(omega_0^2 - gamma^2) The ratio is equal to e^-(gamma * T_d) so r = e^-(c/2m * 2pi/(k/m - (c/2m)^2)^1/2) But then for b, I'm lost again. If Q = 100, omega_d=200*gamma. So the ratio of successive maxima = e ^ - pi/100 But i'm not sure how that lets me figure out how many periods will it take for the amplitude to decay to 1/ e of it’s initial value.