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 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 :- What is the work done against friction during rolling ?

A solid cylinder rolls up an inclined plane of angle of inclination 30^@ . At the bottom of the inclined plane the centre of mass of the cylinder has a speed of 5 m//s :- How far will the cylinder go up the plane?

A solid cylinder rolls up an inclined plane of angle of inclination 30^@ . At the bottom of the inclined plane the centre of mass of the cylinder has a speed of 5 m//s :- How long will it take to return to the bottom?

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 block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate increase in potential energy

A body of mass 5 kg placed on the surface of rough inclined plane rising 7 in 25 just slides down. Calculate the value of limiting friction ci-efficient of friction.

What is the condition for rolling of a solid cylinder withuot slipping on an inclined plane?

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 ?

In the figure, a body A of mass m slides on plane inclined at angle theta_1 to the horizontal and mu_1 is the coefficient of friction between A and the plane. A is connected by a light string passing over a fictionless pulley to another body B, also of mass m, sliding on a frictionless plane inclined at angle theta_2 to the horizontal which of the following statements are true ?