A tetrahedral is attached to a swivel in the ceiling by a light cord of length L. When the ball is hit by a paddle, it swings in a horizontal circle by constant speed v, and the cord makes a constant angle β with the vertical direction. The ball goes during one revolution in time T. Assuming that T, the mass m, and the length L, of the rope are known; derive algebraic expressions for the tension F2 in the cord and the angle β.