Two point masses `m_(1)` and `m_(2)` are joined by a weightless rod of length `r`. Calculate the moment of inerrtia of the system about an axis passing through its centre of mass and perpendicular to the rod.

Explanation

To calculate the moment of inertia of the system about an axis passing through its center of mass and perpendicular to the rod, we can follow these steps:

### Step 1: Understand the System
We have two point masses \( m_1 \) and \( m_2 \) connected by a weightless rod of length \( r \). We need to find the moment of inertia about the center of mass (CM) of the system.

### Step 2: Find the Position of the Center of Mass
The position of the center of mass \( R_{CM} \) can be calculated using the formula:
\[
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