A cord of negligible mass is wound around the rim of a wheel of radius 20 cm. An object of mass 600 g is attached to the end of the cord and is allowed to fall from rest. It took 5 s for the object to fall by 2 m. Calculate the angular acceleration and moment of inertia of the wheel. Assume that the axis of wheel is horizontal.

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the acceleration of the falling object

We know that the object falls a distance of \( s = 2 \, \text{m} \) in time \( t = 5 \, \text{s} \). We can use the second equation of motion:

\[
s = ut + \frac{1}{2} a t^2
...