A cylindrical spaceship of radius R rotates around its axis with angular velocity ω. The pool in the ship has a depth H, and the bottom of the pool is the side wall of the ship. a. Will the astronaut be able to swim in this pool? Describe a feature of the space pool. Determine the density of a stick of length l < H floating in the pool, if its upper part of length ∆ protrudes from the water. b. In the pool one can observe the following interesting phenomenon: two balls of different densities connected by a thread move either to the free surface or to the wall of the spaceship, depending on "depth", if the density of one ball is more and the density of the other is less than the water density. Explain this phenomenon.