Find moment in inertia of a uniform ring about a tangent perpendicular to the ring.

Define moment of inertia

Moment of inertia is :

Find the moment of inertia of a thin circular ring about a tangent bot to the plane of the ring.

Derive the expression for moment of inertia of a circular disc about an axis tangential to the plane of the disc.

Define theorem of perpendicular axes and apply it to find the moment of inertia of a thin uniform circular ring about any diameter.

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.

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 :