Answer to Question #66438 in Mechanics | Relativity for mk

Question

For a damped harmonic oscillator, the equation of motion is
( / ) ( / ) 0 2 2
m d x dt + g dx dt + kx =
with m = 0.50 kg, g = 0.70 kgs−1 and k = 70 Nm−1. Calculate (i) the period of motion,
(ii) number of oscillations in which its amplitude will become half of its initial value,
(iii) the number of oscillations in which its mechanical energy will drop to half of its
initial value, (iv) its relaxation time, and (v) quality factor