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 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.

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 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 solid cylinder of mass M and radius 2R is rolled up on an incline with the help of a plank of mass 2M as shown in the figure. A constant force F is acting on the plank parallel to the incline. There is no slipping at any of the contact. The friction force between the plank and cylinder is given by:

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?

Consider a cylinder of mass M and radius R lying on a rough horizontal plane. It has a plank lying on its top as shown in the figure. A force F is applied on the plank such that the plank moves and causes the cylinder to roll. The plank always remains horizontal. There is no slipping at any point to contact. (a) what are the directions of the fricition forces acting at A and B on the plank and the cylinder ? (b) Calculate the acceleration of the cylinder. (c ) Find the value of frictional force at A & B .

Consider a cylinder of mass M and radius R lying on a rough horizontal plane. It has a plank lying on its top as shown in the figure. A force F is applied on the plank such that the plank moves and causes the cylinder to roll. The plank always remains horizontal. There is no slipping at any point to contact. (a) what are the directions of the fricition forces acting at A and B on the plank and the cylinder ? (b) Calculate the acceleration of the cylinder. (c ) Find the value of frictional force at A & B .

A sphere of mass m and radius r is placed on a rough plank of mass M . The system is placed on a smooth horizontal surface. A constant force F is applied on the plank such that the sphere rolls purely on the plank. Find the acceleration of the sphere.

A sphere of mass m and radius r is placed on a rough plank of mass M . The system is placed on a smooth horizontal surface. A constant force F is applied on the plank such that the sphere rolls purely on the plank. Find the acceleration of the sphere.