A conical pendulum is constructed from a rope of length l and negligible mass, which is suspended from a fixed pivot attached to the ceiling. A small ball of mass m is attached to the lower end of the rope. The ball moves in a circle with constant speed in the horizontal plane, while the rope makes an angle β with respect to the vertical, as shown in the diagram.
(a) Find the tension FT in the rope. Express your answer in terms of g, m, l, and β (enter beta for β).
(b) Find the period of the motion (how long does it take the ball to make one circle in the horizontal plane). Express your answer in terms of g, m, l, and β (enter beta for β).