A sphere of radius H=0.5 m rotates around its vertical diameter with a constant angular velocity w=5 rad/s (Fig. 2.20). Together with the sphere, a small body rotates on its inner surface, located at a height equal to half the radius. Determine the minimum value of the friction coefficient at which this state is possible. Determine the minimum value of the friction coefficient if the angular velocity of the sphere is w=8 rad/s.
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