Asmall ball of mass m is suspended by a string of length l. the string makes an angle β with the vertical. the ball revolves in a circle with an unknown constant angular speed ω. the orbital plane of the ball is at a height h above the ground. let g be the gravitational constant. you may ignore air resistance and the size of the ball. later, the ball detaches from the string just as it passes the x-axis. it flies through the air and hits the ground at an unknown horizontal distance d from the point at which it detached from the string.'