In the above problem the angular velocity of the system after the particle sticks to it will be?

Options

A. 0.3 rad/s
B. 5.3 rad/s
C. 10.3 rad/s
D. 89.3 rad/s

Explanation

To find the angular velocity of the system after a particle sticks to a rotating solid cylinder, we can follow these steps:

### Step 1: Identify the given data
- Mass of the solid cylinder (M) = 2 kg
- Radius of the solid cylinder (R) = 0.2 m
- Initial angular velocity of the cylinder (ω_initial) = 3 rad/s
- Mass of the particle (m) = 0.5 kg
- Velocity of the particle (v) = 5 m/s
...