Dievsky V.A. - Solution of task D2 variant 18 (D2-18)

D2-18 Dievskiy

The drum with a mass of 600 kg and a radius of 80 cm is driven into the rotation from the resting state by a constant moment M1 = 500 N m. The drum experiences resistance forces, the moment of which M2 = 6ω2. The drum is considered a homogeneous disc. Determine the angular velocity of the drum at the time when it rotates by an angle φ = 4π rad.