A small sphere of mass m is suspended from a thin and light string of length L. It moves in a horizontal circle with period T. (This arrangement is called a conical pendulum.) (a) Calculate the period T and the tension in the string F as a function of the angle between the string and the vertical. (b) Calculate the period of the slowest possible circular motion, if the length of the string is L = 1 m and the mass of the small sphere is m = 0.2 kg. How much is the tension in the string in this case?