The surface density (mass/area) of a circular disc of radius a depends on the distance from the centre as `rho(r)=A+Br.` Find its mment of inertia about the line perpendicular to the plane of the disc through its centre.

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 uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the center is

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 center is

A circular hole of radius r//2 is cut from a circular disc of radius 'r' . The disc lies in the xy plane. Determine the moment of inertia about an axis passing through the centre and perpendicular to the plane of the disc.

A rectangular piece of dimension lxxb is cut out of central portion of a uniform circular disc of mass m and radius r. The moment of inertia of the remaining piece about an axis perpendicular to the plane of the disc and passing through its centre is :

A disc of radius R has a concentric hole of radius R /2 and its mass is M. Its moment of inertia about an axis through its centre and perpendicular to its plane, is

A disc of radius R has a concentric hole of radius R /2 and its mass is M. Its moment of inertia about an axis through its centre and perpendicular to its plane, is