A cylinder A rolls without slipping on a plank B.The velocities of center of the cylinder and that of the plank are 4m/s and 2m/s respectively in same direction,with respect to the ground.Find the angular velocity ( in rad /sec) of the cylinder if its radius is 1m .

A cylinder is rolling without sliding over two horizontal planks (surfaces) 1 and 2 . If the velocities of the surfaces A and B are -vhati and 2vhati respectively, find the: a. Position of instantaneous axis of rotation. b. Angular velocity of the cylinder.

If the velocities of three molecules are 2 m/s, 3 m/s, 4m/s respectively. Then the mean velocity will be

A solid cylinder and a sphere, having the same mass, rolls without slipping with the same linear velocity. If the kinetic energy of the cylinder is 75 J , that of the sphere must be

A cylinder of radius R and mass M rolls without slipping down a plane inclined at an angle theta . Coeff. of friction between the cylinder and the plane is mu . For what maximum inclination theta , the cylinder rolls without slipping ?

A cylinder is rolling without slipping on a horizontal plane P . The friction between the plank P and the cylinder is sufficient for no slipping. The coefficient of friction between the plank and the ground surface is zero. Initially, P is attached with a string S as shown in the figure. If the string is now burned, then.

A cylinder is rolling without slipping on a plank which is also moving with speed 10m//s on a horizontal surface as shown. The speed of centre of the cylinder is 20m//s . The mass of cylinder is 2kg . The kinetic energy of the cylinder when observed from ground is

A soild cylinder of mass 2 kg and radius 0.2 m is rotating about its owm axis without friction with an angular velocity of 3 rad s^(-1) . Angular momentum of the cylinder is

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h . What is the speed of its center of mass when the cylinder reaches its bottom

In the given figure, the spheres rolls without slipping on the plank which is moving with constant velocity v_(0) . The radius and angualr velocity of the sphere is r and omega , respectively. The velocity of center fo mass of the sphere is