A cylinder rotating with angular velocity `omega_(0)` is put on a rough horizontal floor so that edge touches a vertical rough wall. Rotational motion of the cylinder is retarded and after some time cylinder comes to rest. If m is mass of cylinder and R is its radius then calculate number of revolutions made by the cylinder before it comes to rest. Assume `mu` is coefficient of friction for floor as well as wall.

Explanation

To solve the problem of a rotating cylinder coming to rest due to friction, we can follow these steps:

### Step 1: Identify Forces Acting on the Cylinder
The cylinder experiences gravitational force \( mg \) downward, normal forces \( n_1 \) (from the floor) and \( n_2 \) (from the wall), and frictional forces \( f_1 \) (from the floor) and \( f_2 \) (from the wall).

### Step 2: Set Up Equations for Forces
1. **Vertical Forces**: The sum of vertical forces must equal zero.
\[
...