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The moment of inertia of a uniform circular disc about its diameter is represented as I. Using the perpendicular axes theorem, the moment of inertia of the disc about its central axis perpendicular to the plane is 1/2 MR² = 2I. By applying the parallel axes theorem, it is found that Iₑ : I = 1/4 MR². What is the moment of inertia of the disc about the specified axis?

1. I = 1/4 MR²
2. I = 1/2 MR²
3. I = 6I
4. I = 2I

Correct answer: I = 1/2 MR²

Solution

The moment of inertia (M.I.) of a uniform circular disc about its diameter is given as I = 1/4 MR². Using the perpendicular axes theorem, the M.I. about the axis perpendicular to the plane of the disc is 2I = 1/2 MR². Thus, the correct answer is B.

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