A cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a plane of inclination 30o. The co- efficient of static friction `µ_(s) = 0.25`.
(a) How much is the force of friction acting on the cylinder ?
(b) What is the work done against friction during rolling ?
(c) If the inclination `θ` of the plane is increased, at what value of `θ` does the cylinder begin to skid, and not roll perfectly ?

Explanation

(a) 16.4 N
(b) Zero
(c) `37°` approx.