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Solution of task 16.2.17 from the collection of Kepe OE

Solution of task 16.2.17 from the collection of Kepe OE

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16.2.17

A homogeneous cylinder of mass m = 6 kg and radius R = 0.08 m falls in the vertical plane, unwinding the thread, the tension of which is T = 19.6 N. Determine the angular velocity of the cylinder ω at time t = 0.4 s, if at t0 = 0 the angular velocity is zero.

(Answer 32.7)