Calculate the kinetic energy of rolling ring of mass 0.2 kg about an axis passing through its centre of mass and perpendicular to it, if centre of mass is moving with a velocity of 3 m/s.

Explanation

To calculate the kinetic energy of a rolling ring about an axis passing through its center of mass and perpendicular to it, follow these steps:

### Step 1: Identify the given values
- Mass of the ring, \( m = 0.2 \, \text{kg} \)
- Velocity of the center of mass, \( v_{cm} = 3 \, \text{m/s} \)

### Step 2: Understand the components of kinetic energy
The total kinetic energy \( KE \) of the rolling ring can be expressed as the sum of translational kinetic energy and rotational kinetic energy:
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