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 (G)

The position of the center of mass \( G \) can be calculated using the formula:

\[
x_G = \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2}
...