Two identical spheres each of mass 1.20 kg and radius 10.0 cm are fixed at the ends of a light rod so tthat the separation betweeen the centres is 50.0 cm. Find the moment of inertia of the system about an axis perpendicular to the rod passing through its middle point.

Explanation

To find the moment of inertia of the system consisting of two identical spheres fixed at the ends of a light rod, we will follow these steps:

### Step 1: Calculate the Moment of Inertia of One Sphere
The moment of inertia \( I \) of a solid sphere about its center of mass is given by the formula:
\[ I = \frac{2}{5} m r^2 \]
where:
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