We derived the maximum amplitude of a damped, driven harmonic oscillator, as well as the frequency wmax at which this maximum occurs. Take the expressions given and express them in terms of the quality factor Q, after taking the limit of very light damping. (Hint: use binomial expansion.) Use these expressions to find the quality factor and Amax when wmax=.998w..

We derived the maximum amplitude of a damped, driven harmonic oscillator, as well as the frequency wmax at which this maximum occurs. Take the expressions given and express them in terms of the quality factor Q, after taking the limit of very light damping. (Hint: use binomial expansion.) Use these expressions to find the quality factor and Amax when wmax=.998w..