A horizontal disc is freely rotating about a vertcal axis passing through its centre at the rate of 125 r.p.m. A blob of wax of mass 50 gm falls on it and sticks to it at a distance of 10 cm from the axis. If the reslting frequency of rotation is 75 r.p.m, calculate the moment of inertia of the disc.

If the moment of inertia of a ring about transverse axis passing through its centre is 6 kg m^2 , then the M.I. about a tangent in its plane will be

Radius of gyration of disc rotating about an axis perpendicular to its plane passing through its centre is (If R is the radius of disc)

Three particles of masses1kg, 2 kg and 3 kg are at distances 1 m, 2 m and 3 m from the axis of rotation. The moment of inertia of the system is

A disc rotates horizontal at the rate of 100 rpm and M.I. of the disc about the axis of rotation is 1 kg m^2 . If a blob of molten wax weighing 50 gm drops gently at a distance 20 cm from the axis of rotation of the disc and remains stuck to it, then the increase in moment of inertia of the system will be

A disc of radius 10 cm can rotate about an axis passing through its centre and perpendicular to its plane. A force of 10 N is applied along the tangent in the plane of the disc. If the moment of inertia of the disc about its centre is 5 kg m2, then the increase in the angular velocity of the disc in 10 s will be

A coin just remains on a disc rotating at 120 r.p.m. when kept at the distance of 1.5 cm from the axis of rotation. Find the coefficient of friction between the coin and the disc.

The moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is 0.4 kg m^2 . Calculate its moment of inertia about its diameter

A ring of mass 10 kg and diameter 0.4 m is rotated about an axis passing through its centre and perpendicular to its plane. Moment of inertia of the ring is

A cylinder of 500 g and radius 10 cm has moment, of inertia about an axis passing through its centre and parallel to its length as

If a solid sphere of mass 1kg and radius 3 cm is rotating about an axis passing through its centre with an angular velocity of 50 rad/s, then the kinetic energy of rotation will be