In the figure the plank resting on two cylinders is horizontal. The plank is pulled to the right such that the centre of smaller cylinder moves with a constant velocity `v`. Friction is large enough to prevent slipping at all surfaces. Find-
(a) The velocity of the centre of larger cylinder.
(b) The ratio of accelerations of the points of contact of the two cylinders with the plank.

Velocity of the centre of a small cylinder is v . There is no slipping anywhere. The velocity of the centre of the larger cylinder is

Velocity of the centre of a small cylinder is v . There is no slipping anywhere. The velocity of the centre of the larger cylinder is

In the figure shown, the plank is being pulled to the right with a constant speed v . If the cylinder does not slip then: .

In the figure shown, the plank is being pulled to the right with a constant speed v . If the cylinder does not slip then: .

In the figure shown, the light thread is tightly wrapped on the cylinder and masses of plank and cylinder are same each equal to m . An external agent begins to pull the plank to the right with a constant force F. The friction between the plank and the cylinder is large enough to prevent slipping. Assume that the length of the plank is quite large and the cylinder does not fall off it for the time duration concerned. (a) Find the acceleration of the cylinder. (Hint : don’t write any equations) (b) Find the kinetic energy of the system after time t .

The figure shows a fixed inclined plane on which a plank is being pulled upwards such that the center C of the solid cylinder remains at rest with respect to ground. If no slipping takes place between the cylinder and the plank, then the acceleration of the planks is

The figure shows a fixed inclined plane on which a plank is being pulled upwards such that the center C of the solid cylinder remains at rest with respect to ground. If no slipping takes place between the cylinder and the plank, then the acceleration of the planks is

A cylinder is rolling without slipping on a plank which is also moving with speed 10m//s on a horizontal surface as shown. The speed of centre of the cylinder is 20m//s . The mass of cylinder is 2kg . The kinetic energy of the cylinder when observed from ground is

A cylinder is rolling without slipping on a plank which is also moving with speed 10m//s on a horizontal surface as shown. The speed of centre of the cylinder is 20m//s . The mass of cylinder is 2kg . The kinetic energy of the cylinder when observed from ground is