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D2-09 Dievskiy

The platform, rotating with an angular velocity ω0 = 3 rad / s, begins to be retarded by forces of resistance, whose moment is equal to M = 10ω (ω + 3). The moment of inertia of the platform relative to the axis of rotation is J = 435 kg m2. Determine the number of revolutions of the platform from the start of braking to its stop.
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