Two masses `m_(1) and m_(2)` are placed at a distance r from each other. Find out the moment of inertia of system about an axis passing through their centre of mass.

Explanation

To find the moment of inertia of a system of two masses \( m_1 \) and \( m_2 \) placed at a distance \( r \) from each other about an axis passing through their center of mass, we can follow these steps:

### Step 1: Determine the position of the center of mass
The center of mass \( R_{cm} \) of the two masses can be calculated using the formula:

\[ R_{cm} = \frac{m_1 r_1 + m_2 r_2}{m_1 + m_2} \]
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