Obtain an expression for moment of inertia of ring about a tangent in its plane.
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We know that, moment of inertia of a ring about its diameter is MR²/2.
Applying law of parallel forces, the moment of inertia of a ring about a tangent in the plane of the circle of the ring is -
I(tangent) = I(diameter) + MR²
I(tangent) = MR²/2 + MR²
I(tangent) = 3MR²/2
Hence, the moment of inertia of a ring about a tangent in the plane of the circle of the ring is 3MR²/2.
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