A hole of radius `R//2` is cut from a solid sphere of radius `R`. If the mass of the remaining sphere is `M`, then find moment of inertia of the body about an axis through `O` perpendicular to plane of paper.
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A hole of radius R/2 is cut from a thin circular plate of raduis R as shown in the figure. If the mass of the remaining plate is M, then find moment of inertia of the plate about an axis through O perpendicular to plane

A hole of radius R//2 is removed from a thin circular plate of radius R and mass M. The moment of inertia of the remaining plate about an axis through centre O and perpendicular to the plane of the plate is

A hole of radius R//2 is removed from a thin circular plate of radius R and mass M. The moment of inertia of the remaining plate about an axis through centre O and perpendicular to the plane of the plate 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 uniform rod of mass m is bent into the form of a semicircle of radius R. The moment of inertia of the rod about an axis passing through A and perpendicular to the plane of the paper is

A uniform rod of mass m is bent into the form of a semicircle of radius R. The moment of inertia of the rod about an axis passing through A and perpendicular to the plane of the paper is

A uniform rod of mass m is bent into the form of a semicircle of radius R. The moment of inertia of the rod about an axis passing through A and perpendicular to the plane of the paper is

From a solid sphere of mass M and radius R a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its centre and perpendicular to one of its faces is