A thin hollow cylinder
slides without rotating with a speed v.
Find the ratio of kinetic energies in the two cases.

Explanation

To solve the problem of finding the ratio of kinetic energies in the two cases for a thin hollow cylinder sliding without rotating, we will break it down into clear steps.

### Step-by-Step Solution

1. **Understanding the Kinetic Energy in Translational Motion**:
- The kinetic energy (KE) of a body in translational motion is given by the formula:
\[
KE_{translational} = \frac{1}{2} m v^2
...