A cylinder of mass `m` and radius `R` is kept on a rough surface after giving its centre a horizontal speed `v_(0)`. Find the speed of the centre of the cylinder when it stops slipping.

Explanation

To solve the problem of finding the speed of the center of the cylinder when it stops slipping, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Initial Conditions**:
- A cylinder of mass \( m \) and radius \( R \) is given an initial horizontal speed \( v_0 \).
- The cylinder is on a rough surface, which means friction will act on it.

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