Question

2. Calculate the damping constant of an under damped harmonic oscillator, if its amplitude reduces to (1/10)th of its initial value after 100 oscillations. Given that time period is 2 s.

Answer 1

$$A=A_0e^{-bt}\\\frac{1}{10}A_0=A_0e^{-100(2)b}\\b=0.0115\ s^{-1}$$