Determine the minimum coefficient of friction `mu_(min)` between a thin homogeneous rod and a floor at which a person can slowly lift the rod from the floor without slippage to the vertical position, applying to its end a force perpendicualr to it.

Determine the minimum coefficient of friction between a thin rod and a floor at which a person can slowly lift the rod from the floor, without slipping, to the vertical position applying at its end a force always perpendicular to its length.

A block of mass m slips on a rough horizontal table under the action of horiozontal force applied to it. The coefficient of friction between the block and the table is mu . The table does not move on the floor. Find the total frictional force aplied by the floor on the legs of the table. Do you need the friction coefficient between the table and the floor or the mass of the table ?

The friction coefficient between the board and the floor shown in figure is mu Find the maximum force that the man can exert on the rope so that the board does not slip on the floor

A body of mass M is applying horizontal force to slide a box of mass M_(1) on a rough horizontal surface The coefficient of friction between the shoe of the boy and the floor is mu and that between the box and the floor is 'mu_(1)' In which of the following cases is it certainly not possible to slide the box ? .

A uniform rod is made to lean between a rough vertical wall and the ground. The coefficient of friction between the rod and the ground is mu_(1) and between the rod and the wall is mu_(2) . Find the angle at which the rod can he leaned without slipping.

A horizontal uniform rod of mass 'm' has its left end hinged to the fixed incline plane, while its right end rrests on the top of a uniform cylinder of mass 'm' which in turn is at rest on the fixed inclined plane as shown. The coefficient of friction between the cylinder and rod, and between the cylinder and inclined plane, is sufficient to keep the cylinder at rest. The ratio of magnitude of frictional force on the cylinder due to the rod and the magnitude of frictional force on the cylinder due to the inclined plane is :

A uniform rod ABC of mass M is placed vertically on a rough horizontal surface. The coefficient of kinetic friction between the rod and the surface is mu . A force F (gt mu mg) is applied on the rod at point B at distance l//3 below centre of the rod as shown in figure. The initial acceleration of point A is