Answer to Question #65635 in Mechanics | Relativity for Manoj

Question

For a damped harmonic oscillator, the equation of motion is m(d^2x/dt^2)+Gama(DX/DT)+kx=0 with m = 0.50 kg, g = 0.70 kgs1 and k = 70 Nm1. 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.