A cylinder of length 10 cm and radius 5 cm is rotating with an angular speed of 50 rad/s about its central axis. Calculate the uniform tangential force which will stop the cylinder in 8 s. The moment of inertia of the cylinder about its axis of rotation is `0.6 kg m^(2)`.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the Angular Deceleration
We need to find the angular deceleration (α) required to stop the cylinder in 8 seconds. The initial angular speed (ω_initial) is 50 rad/s and the final angular speed (ω_final) is 0 rad/s.

Using the formula for angular acceleration:
\[
\alpha = \frac{\omega_{final} - \omega_{initial}}{t}
...