A “swing” ride at a carnival consists of chairs that are swung in a circle by 13.5 m long cables attached to a vertical rotating pole, as the drawing shows. Note that the cables make an angle of 60.0o with respect to the vertical, as shown. Suppose the total mass of a chair and its occupant is 125 kg, treated as a point mass at the end of the cable.

Question

A “swing” ride at a carnival consists of chairs that are swung in a circle by 13.5 m long cables attached to a vertical rotating pole, as the drawing shows. Note that the cables make an angle of 60.0o with respect to the vertical, as shown. Suppose the total mass of a chair and its occupant is 125 kg, treated as a point mass at the end of the cable.
(a) Draw a free-body diagram for the chair/occupant (treated as a point mass, m = 125 kg). Indicate the coordinate system you will use to solve the problem.
(b) Determine the magnitude of the tension in the cable attached to the chair. (c) Find the speed of the chair.