5. On a midway ride called The Round Up, participants climb into a cylindrical apparatus and stand upright with their backs against the wall of the cylinder. The apparatus begins to spin, first in the horizontal plane and then tipping into the vertical plane so that the riders' bodies are parallel to the ground below. Consider a rider of mass 72.0 kg. The radius of the apparatus is 8.0 m and it spins with a period of 3.2 s. (a) Determine the centripetal force acting on the person when the apparatus is still in the horizontal plane. Provide the appropriate free-body diagram and state the force that supplies the centripetal force in this situation. (b) Draw the free-body diagram of the person at the bottom of the apparatus when spinning in the vertical plane and determine how heavy the person feels at that position (i.e., what is the value of the normal force at that position?).