A uniform disc of mass `m` and radius `R` rotates about a fixed vertical axis passing through its centre with angular velocity `omega`. A particle of same mass `m` and having velocity of `2omegaR` towards centre of the disc collides with the disc moving horizontally and sticks to its rim. Then

Explanation

To solve the problem, we will analyze the collision between the particle and the rotating disc using the principles of conservation of angular momentum and impulse-momentum theorem.

### Step-by-Step Solution:

1. **Identify Initial Conditions**:
- Mass of the disc, \( m \)
- Radius of the disc, \( R \)
- Angular velocity of the disc, \( \omega \)
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