What is moment of inertia of a solid sphere about its diameter.

Calculate the moment of inertia of a ring about in axis passing through centre and perpendicular to its plane.

Calculate the rotation kinetic energy of the earth about its own axis. (M= 6 times 10^24 kg and R = 6400km)

(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^2IS, 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 MR2I4, find its moment of inertia about an axis normal to the' disc and passing through a point on its edge.

Calculate the moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end.

Calculate the moment of inertia of a circular disc passing through centre and perpendicular to its plane.

Calculate the gain in kinetic engery of a body of mass 10 kg after falling from rest for 2 seconds.

Two rings have their moments of inertia in ratio 2 : 1 and their diameters are in the ratio 2 : 1. The ratio of their masses is

Define moment of inertia of a body capable of rotation about an axis. Show that the moment of inertia of a body an axis is numerically equal to twice its kinetic energy if it rotates with unit angular velocity.

A ring and a circular disc of different materials have equal masses and equal radii. Which one will have a larger moment of inertia about an axis passing through its centre of mass perpendicular to its plane?