A circular plate of 50 g and 2 cm diamctre is rolling with velocity `4 cm//s. Calcualte its linear and rotational kinetic energy.

A solid sphere of diameter 2 cm and of mass 20 g is rolling with a velocity of 3 cm. s^(-1) . What is the total kinetic energy of the sphere?

If a sphere is rolling then the ratio of its rotational kinetic energy to the total kinetic energy is

A stone of mass 500 g is tied at one end of a thread . If the stone is rotated along a circular path of radius 100 cm in a vertical plane with velocity 4m*s^(-1) , what will be the tensions in the thread at the highest and the lowest positions of the stone ? ( g=980 cm*s^(-2) )

Moment of inertia of a disc is 100 g. cm^(2) . If the disc rotates with an angular velocity of 2 rad .s^(-1) the rotational kinetic energy of the disc is

A uniform disc is rolling on a horizontal surface at a uniform speed of 3 rps. The radius of the disc is 10 cm and its mass is 1.2 kg. Calculate its (i) angular velocity , (ii) linear velocity and (iii) kinetic energy of rotation.

A bullet of mass 50 g , moving with a velocity of 50 m*s^(-1) hits and enters a wooden block of mass 2kg and comes to rest within it. The wooden block was initially at rest on a smooth table. Find the final velocity of the wooden block. What are the initial and final kinetic energies of the block-bullet system?

A particle starts from the origin with a velocity 5 cm/s and moves in a straight line its accelration at time t seconds being (3t^(2)-5t)cm//s^(2) . Find the velocity of the particle and its distance from the origin at the end of 4 seconds.

The time period of a simple pendulum is 2 s. The mass of its bob is 10 g and the bob is oscillating with an amplitude of 4 cm. What is the total mechanical energy of the bob?