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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

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 .

In the figure shown, mass of the plank is m and that of the solid cylinder is 8m. Springs are light. The plank is slightly displaced from equilibrium and then released. Find the period of small oscillations (in seconds) of the plank. There is no slipping at any contact point. The ratio of the mass of the plank adn stiffness of the spring i.e., (m)/(K) = (2)/(pi^(2))

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:

A cylindrical drum, pushed along by a board rolls forward on the ground. There is no slipping at any contact. The distance moved by the man who is pushing the board, when axis of the cylinder covers a distance L will be.

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their curved surface areas.

The radii of two right circular cylinders are in the ratio 2:3 and their heights are in the ratio 5:4. Calculate the ratio of their curved surface areas.

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their volumes and the ratio of their curved surfaces.

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