The base B has a mass of 5 kg and a radius of gyration of 80 mm about the central vertic...

The base B has a mass of 5 kg and a radius of gyration of 80 mm about the central vertical axis shown. Each plate P has a mass of 3 kg. If the system is freely rotating about the vertical axis with an angular speed with the plates in the vertical position, estimate the angular speed N₂ when the plates have moved to the horizontal positions indicated. Neglect friction.