Show the moment of inertia of a solid abot its diameter is `2/5 MR^2`

What is the moment of inertia of a disc about their diameters?

Moment of inertia of a sphere about its diameter is 2/5MR^2 . What is the radius of gyratin about that axis?

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.

A solid cylinder has mass M ,length L and radius R.The moment of inertia of this cylinder abot a gerator is :

Derive the expression for moment of inertia of a circular disc about the diameter of the disc.

How is moment of inertia of a body different from its mass?

A circular coil of 16 turns and radius 10 cm carrying a current of 0.75 A rests with its plane normal to an external field of magnitude 5.0 xx 10^-2 T. The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coil is turned slightly and released, it oscillates about its stable equilibrium with a frequency of 2.0 s^-1 . What is the moment of inertia of the coil about its axis of rotation?

The moment of inertia of a rod about an axis through its centre and perpendicular to its length is ML^2//12 (where M is the mass and L is the lenth of the rod).The rod is bent in the middle so that the two halves make an angle 60^@ .The moment of inertia of the bent rod about the same axis would be :

A closed tube, partly filled with a liqyid and set horizontal, is rotated about a vertical axis passing through its centre. IN the process, the moment of inertia of the system about its axis would