A cylinder is sandwiched between two planks. Two constant horizontal forces `F` and `2F` are applied on the planks as shown. Determine the acceleration of the centre of mass of cylinder and the top plank. If there is no slipping at the top and bottom of cylinder.

A boy pushes a cylinder of mass M with the help of a plank of mass m as shown in figure. There is no slipping at any contact. The horizontal component of the force applied by the boy on the plank is F. Find (a) The acceleration of the centre of the cylinder (b) The friction force between the plank and the cylinder

A plank of mass m_1 with a uniform sphere of mass m_2 placed on it rests on a smooth horizontal plane. A constant horizontal force F is applied to the plank. With what acceleration will the plank and the centre of the sphere move provided there is no sliding between the plank and the sphere?

A man pushes a cylinder of mass m_1 with the help of a plank of mass m_2 as shown in figure. There in no slipping at any contact. The horizontal component of the force applied by the man is F. (a) the acceleration fo the plank and the center of mass of the cylinder, and (b) the magnitudes and direction of frictional force at contact points.

A man pushes a cylinder of mass m_1 with the help of a plank of mass m_2 as shown in figure. There in no slipping at any contact. The horizontal component of the force applied by the man is F. (a) the acceleration fo the plank and the center of mass of the cylinder, and (b) the magnitudes and direction of frictional force at contact points.

The acceleration a of the plank P required to keep the centre C of a cylinder in a fixed position during the motion is (no slipping take place between cylinder and plank)

A cylinder of mass 2kg and radius 10cm is held between two planks as shown in Fig. Calculate KE of the cylinder when there is no slipping at any point.

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 ?