The cylindrical drum rotates about the vertical axis at the constant rate Ω2, and the conical floor of the tank rotates at the constant rate Ω1. In the situation of interest the radial line to the center of the sphere also rotates at Ω1. There is no slippage between either the interior wall of the tank or the spinning conical floor in the rolling motion. Determine the angular velocity and acceleration of the sphere.



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