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Moment of Inertia of Hollow Sphere

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find moment of inertia about an edge of a cube

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Q. Find the moment of inertia of a uniform square plate of mass m and edge an about one of its diagonals.

Q. Find the moment of inertia through face diagonal of a cube. Edge length of a cube is

a

Q. (a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be

2 M R^{2} / 5

, where M is the mass of the sphere and R is the radius of the sphere.
(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be

M R^{2} / 4

, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.

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Moment of Inertia of Hollow Sphere

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