The diagram shows a rough plank resting on a cylinder with one and of the plank on rough ground. Negtect friction between plank and cylinder. Draw digrams to show
(a) the force acting on the plank,
(b)the force acting on the cylinder.

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 .

A force F is applied horizontally on a cylinder in the line of centre as shown in the figure. The cylinder is on a rough surface of coefficient of fricition mu . The direction of the friction force acting on the cylinder will be

A force F is applied horizontally on a cylinder in the line of centre as shown in the figure. The cylinder is on a rough surface of coefficient of fricition mu . The direction of the friction force acting on the cylinder will be

In the figure shown, a solid sphere of mass 'm' and radius r is released from a height 6r to slide down a smooth surface. A plank of same mass 'm' touches the horizontal portion of the surface at the ground. The co-efficient of friction between the plank and the sphere is mu and that between the plank and the ground is mu//4 . Find the work done by the friction force between the plank and the ground till the sphere starts pure rolling on the plank. Neglect the height of the plank.

In the figure shown, a solid sphere of mass 'm' and radius r is released from a height 6r to slide down a smooth surface. A plank of same mass 'm' touches the horizontal portion of the surface at the ground. The co-efficient of friction between the plank and the sphere is mu and that between the plank and the ground is mu//4 . Find the work done by the friction force between the plank and the ground till the sphere starts pure rolling on the plank. Neglect the height of the plank.

A cylinder of mass M = 2 kg and radius R = 12 cm lies on a plank of the same mass as shown in the figure. The surface between plank and ground is smooth but there is friction between cylinder and plank. If the coefficient of friction between the cylinder and the plank is mu=0.4 , then what maximum initial compression (in cm) can be given to the spring such that the cylinder moves without slipping with respect to the plank ? ["Given, "k="200 N m"^(-1)]

A plank of mass M is placed on a rough horizontal force F is applied on it A man of mass m rens on the plank find the acceleration of the man so that the plank does not move on the surface . The coefficent of friction between the plank and the surface is mu Assume that the man does not slip on the plank

A uniform solid cylinder of mass m rests on two horizontal planks. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically down with a constant force F . Find the maximum magnitude of the force F which may be applied without bringing about any sliding of the cylinder, if the coefficient of friction between the plank and the cylinder is equal to mu . What is the maximum acceleration of the centre of mass over the planks?