A uniform thin rod of length `1m` and mass `3kg` is attached to a uniform thin circular disc of radius `30cm` and mass `1kg` at its centre perpendicular to its plane. The centre of mass of the combination from the centre of disc is

One end of a thin uniform rod of length L and mass M_(1) is rivetted to the centre of a uniform circular disc of radius 'r' and mass M_(2) so that that both are coplanar. The centre of mass of the combination from the centre of the disc is (Assume that the point of attachment is at the origin).

The M.I. of a uniform semicircular disc of mass M and radius R about a line perpendicular to the plane of the disc and passing through the centre is

Moment of inertia of a uniform quarter disc of radius R and mass M about an axis through its centre of mass and perpendicular to its plane is :

Moment of inertia of a uniform quarter disc of radius R and mass M about an axis through its centre of mass and perpendicular to its plane is :