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ConceptTheorems of Perpendicular and Parallel Axes

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#### Question

Prove the theorem of parallel axes about moment of inertia

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State an expression for the moment of intertia of a solid uniform disc, rotating about an axis passing through its centre, perpendicular to its plane. Hence derive an expression for the moment of inertia and radius of gyration:

i. about a tangent in the plane of the disc, and

ii. about a tangent perpendicular to the plane of the disc.

State the theorem of perpendicular axes about moment of inertia.