For the damped oscillator shown in previous figure, `k= 180 Nm^(-1)` and the damping constant b is `40 gs^(-1)` .Period of oscillation is given as 0.3 s, find the mass of the block . (Assume b is much less than `sqrt(km))`.
Hint `: T = 2pi sqrt((m)/(k))`

Explanation

To find the mass of the block for the damped oscillator given the parameters, we can follow these steps:

### Step 1: Write down the formula for the period of oscillation
The period \( T \) of a damped oscillator is given by the formula:
\[ T = 2\pi \sqrt{\frac{m}{k}} \]

...