A mass of 100 kg is resting on a rough inclined plane of angle `30^@`. If the coefficient of friction is `1//sqrt3`, find the gratest and the least forces that acting parallel to the plane in both cases, just maintain the mass in equilibrium.

A rectangular box lies on a rough inclined surface at theta . The co-efficient of friction between the surface and the box is mu. Let the mass of the box is m. What is the force acting on the box down the plane, if the angle of inclination of the plane is increased to alpha>theta ?

A rectangular box lies on a rough incli ned surface. The co-efficient of friction between the surface and the box is mu. Let the mass of the box is be m. At what angle of inclination theta of the plane to the horizontal will the box just start to slide down the plane?

A cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a plane of inclination 30^@ . The co-efficient of static friction mus = 0.25 :- How much is the force of friction acting on the cylinder ?

A cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a plane of inclination 30^@ . The co-efficient of static friction mus = 0.25 :- If the inclination theta of the plane is increased, at what value of theta does the cylinder begin to skid, and not roll perfectly ?

A rectangular box lies on a rough incli ned surface. The co-efficient of friction between the surface and the box is mu. Let the mass of the box is be m. What is the force needed to be applied upwards along the plane to make the box either remains stationary or just move up with unifrom speed?

Block A of wiehgt 100 N resta on a frictionless inclined plane of slope angle 30^@. A flexible cod attached to A passes over a frictionless pulley and is connected to block B of weight W. Find the weight W for which the system is in equilibrium.

A cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a plane of inclination 30^@ . The co-efficient of static friction mus = 0.25 :- What is the work done against friction during rolling ?

A cubical block rests on an inclined plane with four edges horizontal.If mu = 1/sqrt3 determine the angle when the block just slides down the plane.

When a body slides down from rest along a smooth inclined plane making anangle of 45^@ with the horizontal, it takes time T. when the same body slides down from rest along a rough inclined plane making the same angle and through the same distance, it is seen to take time pT, where p is some number greater than 1. Calculate the co-efficient of friction between the body and the rough plane.