find moment of inertia about an axis yy` which passes through the centre of mass of the two particle system as shown

Two particles of masses 2 kg and 3 kg are separated by 5 m. Then moment of inertia of the system about an axis passing through the centre of mass of the system and perpendicular to the line joining them is

Two point masses m and 3m are placed at distance r. The moment of inertia of the system about an axis passing through the centre of mass of system and perpendicular to the joining the point masses is

A solid sphere of mass M , radius R and having moment of inertia about as axis passing through the centre of mass as I , is recast into a disc of thickness t , whose moment of inertia about an axis passing through its edge and perpendicular to its plance remains I . Then, radius of the disc will be.

A uniform rectangular plate has been bent as shown in the figure. The two angled parts of the plate are of identical size. The moment of inertia of the bent plate about axis xx is I. Find its moment of inertia about an axis parallel to x x and passing through the centre of mass of the plate.

For the same total mass, which of the following will have the largest moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of the body

A thin semi circular cylindrical shell has mass M and radius R. Find its moment of inertia about a line passing through its centre of mass parallel to the axis (shown in figure) of the cylinder.

Two spheres each of mass M and radius R//2 are connected with a massless rod of length R . Find the moment of inertia of the system about an axis passing through the centre of one of the sphere and perpendicular to the rod