Find the moment of inertia of a uniform sphere of mass m and radius R about a tangent if the spheres (1) solid (ii) hollow?

Explanation

To find the moment of inertia of a uniform sphere of mass \( m \) and radius \( R \) about a tangent, we will consider two cases: (1) for a solid sphere and (2) for a hollow sphere.

### Step 1: Moment of Inertia for a Solid Sphere

1. **Identify the formula for the moment of inertia about the center of mass**:
The moment of inertia \( I_{cm} \) of a solid sphere about its center of mass is given by:
\[
I_{cm} = \frac{2}{5} m R^2
...