D2-12 Dievskiy

The shaft, rotating with an angular velocity ω0 = 9 rad / s, begins to be retarded by forces of resistance, the moments of which are M1 and M2. The braking moment M1 is proportional to the angular velocity M1 = 15ω. The moment M2 from friction in bearings is constant and equal to M2 = 100 Nm. The shaft is considered to be a homogeneous cylinder weighing 200 kg and a radius of 60 cm. Determine the angular velocity of the shaft in 1.5 s after the onset of braking.

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