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The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram-cm² units will be

1. 3/2 mℓ²
2. mℓ²
3. 2 mℓ²
4. 5/4 mℓ²

Correct answer: 3/2 mℓ²

Solution

The moment of inertia is calculated using the perpendicular distance of the masses from the axis of rotation. For this system, the correct calculation yields 3/2 mℓ².

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