[10] (2) A "swing" ride at a carnival consists of chairs that are swung in a circle by 3.0 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 50.0 kg. [2] (2.a) Plot the free body diagram of the chair and its occupant. [8] (2.b) Determine the tension T in the cable attached to the chair when its velocity is 3.46 m/s. [Hint: You may need to solve a quadratic equation to find θ.]