A rough horizontal plate rotates with angular velocity `omega` about a fixed verticle axis. A particle or mass `m` lies on the plate at a distance `(5a)/(4)` from this axis. The coefficient of friction between the plate and the particle is `(1)/(3)` . The largest value of `omega^(2)` for which the oparticle will continue to be at rest on the revolving plate is

A rough horizontal plate rotates with angular velocity omega about a fixed vertical axis. A particle or mass m lies on the plate at a distance (5a)/(4) from this axis. The coefficient of friction between the plate and the particle is (1)/(3) . The largest value of omega^(2) for which the particle will continue to be at rest on the revolving plate is

A rough horizontal plate rotates with a constant angular velocity w about its vertical axis. A particle of mass m lies on the plate at a distance (5a)/(4) from the axes. If the coefficient of friction is (1)/(3) and the particle remains at rest relative to the plane, show that w le sqrt((4g)/(15a)) . The particle is now connected to axis by a horizontal elastic string, of natural length a and modulus 3 mg. If the particle remains at rest relative to the plate and at a distance (5a)/(4) , show that the greatest possible angular velocity is sqrt((13)/(15).(g)/(a)) and find the least possible velocity.

A particle of mass m is placed over a horizontal circular table rotating with an angular velocity omega about a vertical axis passing through its centre. The distance of the object from the axis is r . Find the force of friction f between the particle and the table.

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity omega about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity omega about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity omega about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is

A rigid body of mass m rotates with angular velocity omega about an axis at a distance a from the centre of mass G. The radius of gyration about a parallel axis through G is k. The kinetic energy of rotation of the body is

A circular plate is rotating about its own axis at an angular velocity 100 revolutions per minute. The linear velocity of a particle P of plate at a distance 4.2 cm from axis of rotation is

A block is resting on a horizontal plate in the xy plane and the coefficient of friction between block and plate is mu . The plate begins to move with velocity v=bt^(2) in x direction At what time will the block start sliding on the plate?

A block is resting on a horizontal plate in the xy plane and the coefficient of friction between block and plate is mu . The plate begins to move with velocity v=bt^(2) in x direction At what time will the block start sliding on the plate?