Damped Oscillator: Quality Factor · Irodov #4.88

Physics · mechanics

Problem

A damped oscillator has natural frequency

\omega_0 = 10\;\text{rad/s}

and damping coefficient

\gamma = 0.50\;\text{s}^{-1}

. Find (a) the quality factor

Q

, (b) the number of oscillations before the amplitude drops to

1/e

of its initial value.