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The moment of inertia of a uniform circular disc of radius R and mass M about an axis touching the disc at its diameter and normal to the disc is

1. 2/5 MR²
2. 3/2 MR²
3. 1/2 MR²
4. MR²

Correct answer: 3/2 MR²

Solution

The moment of inertia of a uniform circular disc about its diameter is (1/4)MR². Using the parallel axis theorem, the moment of inertia about an axis touching the disc at its diameter and normal to the disc is (1/4)MR² + MR² = (3/2)MR².

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