MHT CET 2024 Physics question
A solid sphere of mass 'm', radius 'R', having moment of inertia about an axis passing through center of massas 'I' is recast into a disc of thickness 't' whose moment of inertia about an axis passing through the rim (edge) & perpendicular to plane remains 'I'. Then the radius of disc is
Answer: (A)
Solution
Moment of inertia of the solid sphere about a diameter: . Recasting does not change the mass, so the disc also has mass . For a disc of radius , the moment of inertia about an axis through the rim and perpendicular to its plane is (parallel-axis theorem) \dfrac{1}{2}$ + =
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