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Two thin planks are moving on a four identical cylinders as shown. There is no slipping at any contact points. Calculate the ratio of angular speed of upper cylinder to lower cylinder

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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 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 of contact. Calculate the acceleration of the cylinder and the frictional forces at the two contact.

A system of identical cylinders and plates is shown in Fig. All the cylinders are identical and there is no slipping at any contact. The velocity of lower and upper plates are V and 2V , respectively, as shown in Fig. Then the ratio of angular speeds of the upper cylinders to lower cylinders is

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 plank P is placed on a solid cylinder S , which rolls on a horizontal surface. The two are of equal mass. There is no slipping at any of the surfaces in contact. The ratio of kinetic energy of P to the kinetic energy of S is:

Consider a cylinder of mass M=1 kg and radius R=1 m lying on a rough horizontal plane. It has a plank lying on its stop as shown in the figure. A force F=55N is applied on the plank moves and causes the cylinder to roll. The plank always remains horizontal. there is no slipping at any point of contact. The acceleration of cylinder is

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 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:

Consider a cylinder of mass M=1 kg and radius R=1 m lying on a rough horizontal plane. It has a plank lying on its stop as shown in the figure. A force F=55N is applied on the plank moves and causes the cylinder to roll. The plank always remains horizontal. there is no slipping at any point of contact. The value of frictional force at B is

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