Prove that moment of inertia of uniform ring of mass M and radius R about its geometric axis is `MR^(2)`

Find moment of inertia of a ring of mass 4kg and radius 20cm about its tangent.

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

The moment of inertia of a uniform cylinder of length l and radius R about its perpendicular bisector is I . What is the ratio l//R such that the moment of inertia is minimum ?

The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is ………..

The moment of inertia of a solid sphere with a density rho and radius R about its diameter is

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is I_(0) . Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is .............

What is the moment of inertia of a cylinder of radius r, long its height?

Find the moment of inertia of a uniform circular disc about an axis passing through its geometrical centre and perpendicular to its plane and radius of gyration.