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Dievsky V.A. - Solution of task D2 variant 20 (D2-20)

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D2-20 Dievskiy

The drum, which was at rest, is driven into rotation by a constant moment M1. In this case, a moment of resistance forces arises, proportional to the angular velocity: M2 = 12ω. The drum is considered to be a uniform cylinder with a mass of 100 kg and a radius of 50 cm. Determine what should be the moment M1 so that in 2 seconds the angular velocity of the drum equals 8 rad / s.
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