What is the minimum moment of inertia of a system of particles of masses `m_(1) and m_(2)` being interconnected by a rigid light bar of length l, about an axis perpendicular to the rod and passing through it ?

Explanation

To find the minimum moment of inertia of a system of particles with masses \( m_1 \) and \( m_2 \) interconnected by a rigid light bar of length \( L \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Setup**:
We have two masses \( m_1 \) and \( m_2 \) connected by a rigid light bar of length \( L \). We need to find the moment of inertia about an axis perpendicular to the rod and passing through it.

2. **Define the Positions**:
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