D2-05 Dievskiy

The solid body, rotating at an angular velocity ω0 = 8 rad / s, begins to be retarded by forces of resistance, the moments of which are M1 and M2. The moment M1 from friction in bearings is constant M1 = 150 N m. The braking moment M2 is proportional to the angular velocity M2 = 25ω. The moment of inertia of the body relative to the axis of rotation is J = 140 kg m2. Determine, after what period of time the body will stop.

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