A thin hollow sphere of mass `m = 2kg`, `radius = (1//2) m` is sliding on a horizontal surface with a constant frequency n = 60 rpm. Find the total mechanical energy of the hollow sphere.

Explanation

To find the total mechanical energy of a thin hollow sphere sliding on a horizontal surface, we need to consider both its translational and rotational kinetic energies. Here’s a step-by-step solution:

### Step 1: Identify the Given Values
- Mass of the hollow sphere, \( m = 2 \, \text{kg} \)
- Radius of the hollow sphere, \( r = \frac{1}{2} \, \text{m} \)
- Frequency, \( n = 60 \, \text{rpm} \)

### Step 2: Convert Frequency to Angular Velocity
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