The diagram shows a rough plank resting on a cylinder with one end of the plank on rough ground. Neglect friction between plank and cylinder. Draw diagrams to show: (a) the forces acting on the plank, (b) the forces acting on the cylinder.

Open in App

Solution

Since, there is no friction between plank and cylinder, cylinder with tend to move in clockwise direction, and since it is placed on rough surface , friction on cylinder ( f2 ) will act in forward sense. Also, the touching end of plank will move in forward sense, so friction ( f1 ) on it will act in backward direction.

Suggest Corrections

Similar questions

Q. 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 ana 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 contacts.

A solid cylinder of mass 'm' and radius 'R' rests on a plank of mass '2m' lying on a smooth horizontal surface. String connecting the cylinder to the plank is passing over a massless pulley mounted on a movable light block B, and the friction between the cylinder and the plank is sufficient to prevent slipping. If the block B is pulled with a constant force 'F', find the acceleration of the cylinder and that of the plank.