Two particles, each of mass m and charge q are attached to the two ends of a light rigid rod of length 2R. The rod is rotated at constant angular speed about a perpendicular axis passing through ts centre. Find the ratio of the magnetic moment of the system and its angular momentum about the axis through the centre of the rod.

Two particles , each of mass m and charge q , are kept at the two ends of a light rod of length 2l and is rotated with a uniform angular velocity about the vertical axis passing through the centre of the rod . Determine the ratio of the magnetic moment and the angular momentum of the combination with respect to the centre of the rod .

Find the moment of inertia of a ring of mass m and radius r about an axis passing through the tangent to the circle of the ring.

Radius of gyration of a ring of radius R about an axis passing through its centre and perpendicular to its plane is

Calculate the radius of gyration of a uniform thin rod of mass M and length L about an axis of rotation perpendicular to its length and passing through its centre.