Question

if constant a in damped motion is given by if constant a in damped motion is given by 10. what is the value of time constant10. what is the value of time constant

Answer 1

A damped motion is described by

$$x(t)=A_0e^{-\frac{b}{2m}t}.$$

The time constant is

$$\tau=\frac{2m}{b},$$

where $m$ - mass of the bob,

$b$ - damping constant.

Thus, the time constant is

$$\tau=\frac{2m}{10}=\frac{m}{5}.$$