Solution of task 14.6.7 from the collection of Kepe OE

Solution of task 14.6.7 from the collection of Kepe OE

14.6.7
The tube rotates about the vertical axis Oz, its moment of inertia Iz = 0,075 kg · m2. On the tube, under the influence of the internal forces of the system, a ball M of mass m = 0.1 kg moves. When the ball is on the Oz axis, the angular velocity ω0 = 4 rad / s. At what distance l is the angular velocity equal to 3 rad / s? (Answer 0.5)