question_answer 31)

A solid cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a plane of inclination 30°. The coefficient of static friction, . (i) Find the force of friction acting on the cylinder, (ii) What is the work done against friction during rolling ? (in) If the inclination 6 of the plane is increased, at what value of  does the cylinder begin to skid, and not roll perfectly ?  

Answer:

Here M = 10 kg, R = 0.15 m, (i) Force of friction, . (ii) Work done against friction during rolling . (iii) Condition for skidding (or no rolling) is   or           or                            Thus the cylinder will start skidding at an angle of inclination  given by   or            .