Why it is more difficult to rotate a stone by tieing it to a longer string than shorter string ?

Explanation

To understand why it is more difficult to rotate a stone tied to a longer string compared to a shorter string, we can analyze the relationship between centripetal force, mass, angular velocity, and the radius of the circular motion.

### Step-by-step Solution:

1. **Understanding Centripetal Force**:
The centripetal force (\(F_c\)) required to keep an object moving in a circular path is given by the formula:
\[
F_c = m \omega^2 r
...