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The moment of inertia of a uniform circu...

The moment of inertia of a uniform circular disc of mass M and radius R about any of its diameters is `1/4 MR^(2)`. What is the moment of inertia of the disc about an axis passing through its centre and normal to the disc?

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(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 MR^(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 (1)/(4)MR^(2) , find the moment of inertia about an axis normal to the disc passing through a point on its edge.