Task 10028.

On the bench Zhukovsky man standing and holding the rod vertically along the axis of the bench. Bench with a person rotates with an angular velocity of 4 rad / s. What is the angular velocity will rotate the bench with a man, if you turn the rod so that it took a horizontal position? The total moment of inertia of human and benches J = 5 kg * m ^ 2. Rod length L = 1,8 m., M = mass of 6 kg. Assume that the center of mass of the rod with a man is on the axis of the platform.