The one-quarter section is cut from a uniform circular disc of the radius $R$ . This section has a mass $M$ . It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is

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Mass of the whole disc = 4 M Moment of inertia of the disc about the given axis = 1 2 4 M R 2 = 2 MR 2 ∴ Moment of inertia of quarter section of the disc = 1 4 2 MR 2 = 1 2 MR 2

Physics - Rotation Question with Solution | TestHub

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