A rope of negligible mass is wound around a hollow cylinder of mass `3 kg` and radius `40 cm`. What is the angular acceleration of the cylinder, if the rope is pulled with a force of `30 N` ? What is the linear acceleration of the rope ? Assume that there is no slipping.

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Identify the given values
- Mass of the hollow cylinder, \( m = 3 \, \text{kg} \)
- Radius of the hollow cylinder, \( r = 40 \, \text{cm} = 0.4 \, \text{m} \)
- Force applied on the rope, \( F = 30 \, \text{N} \)

### Step 2: Calculate the moment of inertia of the hollow cylinder
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