At the edge of the carousel, having the form of a disc

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At the edge of the carousel, having a disc form weighing 200 kg and a radius of 2 m, rotating at 1 rev / sec, there are five, each weighing 60 kg. Find the frequency of rotation and the angular velocity of the carousel, if they will shift to the center by a distance equal to half the radius. Consider that, in comparison with the size of the carousel people are point masses.

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Task 10246. Detailed solution with a short recording conditions, laws and formulas used in the decision, the withdrawal of the calculation formula and the answer.
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