A thin hollow cylinder
rolls with the same speed without slipping.
Find the ratio of kinetic energies in the two cases.

Explanation

To solve the problem of finding the ratio of kinetic energies in two cases for a thin hollow cylinder rolling without slipping, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Moment of Inertia**:
The moment of inertia \( I \) for a thin hollow cylinder is given by the formula:
\[
I = m r^2
...