A round cone A of mass m = 3.2 kg and half angle a = 10° rolls uniformly and without slipping along a round conical surface B so that its apex O remains stationary (Fig. 1.38). The centre of gravity of the cone A is at the same level as the point 0 and at a distance L = 17 cm from it. The cone s axis moves with angular velocity w. Find: (a) the static friction force acting on the cone A, if w = 1.0 rad/s; (b) at what values of co the cone A will roll without sliding, if the coefficient of friction between the surfaces is equal to k = 0.25.
Solution:
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