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

(a) Find the moment of inertia of a sphere about a tangent to the sphe

1.	(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 2MR^(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 MR^(2)//4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.
Answer» SOLUTION :(a) `7//5 MR^(2)` (B) `3//2 MR^(2)`