A man stands on a Zhukovsky bench and holds in his hands a rod located vertically along the axis of rotation of the bench. The rod serves as the axis of rotation of the wheel located at the upper end of the rod. The bench is stationary, the wheel rotates with a frequency n = 10 r/s. At what angular velocity w will the bench rotate if a person turns the rod through an angle of 180° and the wheel is at the lower end of the rod? The total moment of inertia of the person and the bench is J = 6 kg m2, the radius of the wheel is R = 20 cm. The mass of the wheel m = 3 kg can be considered uniformly distributed along the rim. Assume that the center of gravity with the wheel is on the axis of the platform.
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