Find total work done by friction assuming plank is sufficiently long. m 2m smooth

Find total work done by friction assuming plank is sufficiently long. Solve this question in both ground frame and C-frame.

find total W.D by fricition assuming plank is sufficiently long.

A uniform disc of mass M and radius R initially stands vertically on the right end of a horizontal plank of mass M and length L, as shown, The plank rests on a smooth horizontal floor and friction between disc and plank is sufficiently high such that disc rolls on plank without slipping . The plank is pulled to right with a constant horizontal force of magnitude F. The magnitude of acceleration of plank is F/ 6 M F/ 4 M 3 F/ 2 M 3 F/ 4 M

A uniform disc of mass M and radius R initially stands vertically on the right end of a horizontal plank of mass M and length L, as shown, The plank rests on a smooth horizontal floor and friction between disc and plank is sufficiently high such that disc rolls on plank without slipping . The plank is pulled to right with a constant horizontal force of magnitude F. The distance travelled by centre of disc from its initial position till the left end of plank comes vertically below the centre of disc is

In the figure shown, a solid sphere of mass 'm' and radius r is released from a height 6r to slide down a smooth surface. A plank of same mass 'm' touches the horizontal portion of the surface at the ground. The co-efficient of friction between the plank and the sphere is mu and that between the plank and the ground is mu//4 . Find the work done by the friction force between the plank and the ground till the sphere starts pure rolling on the plank. Neglect the height of the plank.

In the figure shown, a solid sphere of mass 'm' and radius r is released from a height 6r to slide down a smooth surface. A plank of same mass 'm' touches the horizontal portion of the surface at the ground. The co-efficient of friction between the plank and the sphere is mu and that between the plank and the ground is mu//4 . Find the work done by the friction force between the plank and the ground till the sphere starts pure rolling on the plank. Neglect the height of the plank.

A plank of mass M rests on a smooth horizontal plane. A sphere of mass m and radius r is placed on the rough upper surface of the plank and the plank is suddenly given a velocity v in the direction of its length. Find the time after which the sphere begins pure rolling, if the coefficient of friction between the plank and the sphere is mu and the plank is sufficiently long.

A uniform sphere of mass m is positioned between two horizontal planks A and B of mass 2m and m respectively as shown. Ground surface is smooth and friction between planks and sphere is sufficient so that no slipping takes place. Horizontal forces F_(1) and F_(2) are applied on plank so that acceleration of sphere is zero. Plank B is moving toward right with acceleration a. Which of the following is/are correct ?