Consider a uniform rod of mass m and length 2l with two particles of mass `m` each at its ends. Let AB be a line perpendicular to the length of rod and passing through its centre. Find the moment of inertia of the system about AB.

Explanation

To find the moment of inertia of the system consisting of a uniform rod and two particles at its ends about a line AB that is perpendicular to the rod and passes through its center, we can follow these steps:

### Step 1: Identify the Components of the System
We have:
- A uniform rod of mass \( m \) and length \( 2l \).
- Two particles, each of mass \( m \), located at the ends of the rod.

### Step 2: Moment of Inertia of the Rod
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