A solid sphere rolls up a plane inclined at an angle of `45^@`. If the linear velocity of its centre of mass of the bottom of the plane is `5ms^-1`, find how far the sphere travels up the plane.

When a solid sphere rolls down on an inclined plane of inclination 30^@ to the horizontal without slipping, acceleration of its centre of mass is

A solid cylinder at rest at top of an inclined plane of height 2.7 m rolls down without slipping. If the same cylinder has to slide down a frictionless inclined plane and acquires the same velocity as that acquired by centre of mass of rolling cylinder at the bottom of the incline, what should be the height of the inclined plane?

A circular disc first rolls without slipping and then slides without rolling down the same inclined plane. The ratio of velocities of the disc at the bottom of the plane in both the cases repectively is

A solid sphere rolls without slipping down a 30^@ inclined plane. If g=10ms^-2 then the acceleration of the rolling sphere is

A horizontal rod of mass 10g and length 10cm is placed on a smooth plane inclined at an angle of 60^@ with the horizontal with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field induction B is applied vertically downwards. If the current through the rod is 1*73ampere , the value of B for which the rod remains stationary on the inclined plane is

A solid cylinder of mass 0.1 kg having radius 0.2 m rolls down an inclined plane of height 0.6 m without slipping. The linear velocity of the cylinder at the bottom of the inclined plane is

A solid cylinder rolls down on inclined plane. Its mass is 2kg and radius 0.1m. If the height of the inclined plane is 4m, what is its rotational K.E. when it reaches foot of the plane? Take M.I. of solid cylinder about its axis = frac( Mr^2)(2) .

A solid cylinder and a solid sphere roll down on the same inclined plane. Then ratio of their acclerations is

A body' of mass m slides down on an inclined plane and reaches'the bottom with a velocity V. If the same mass were in the form of a ring which rolls down on the inclined plane, then the velocity of the ring at the bottom will be

Two blocks of equal mass are released on two smooth sides of a duble inclined plane with a fixed base as shown in the figure. If each angle of inclination is 45^(@) , the acceleration of the centre of mass of the system of the two blocks is (Acceleration due to gravity =10" ms"^(-2) )