Moment of Inertia of system of particles : rod, ring, disc, sheet, sphere etc

Moment of Inertia of bodies: rod | Ring | Disc| Sheet | Sphere| Parallel axis and perpendicular axis theorem

The moment of inertia of a sphere about its diameter is I. Four such spheres are arranged as shown in figure. Find the moment of inertia of the system about the axis XX'. (radius of each sphere is 2R).

Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m & negligible mass. Moment of inertia of the system about an axis passing through the centre of the disc & perpendicular to its plane is

The moment of inertia of semicircular ring about its centre is

Unit of moment of inertia in MKS system

Five particles of mass 2 kg each are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane is

Moment of inertia of a solid sphere about its diameter is I . If that sphere is recast into 8 identical small spheres, then moment of inertia of such small sphere about its diameter is

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

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