The pilot of an airplane executes a vertical loop which in part follows the path of a card...

The pilot of an airplane executes a vertical loop which in part follows the path of a cardioid, r = 600(1 + cos θ) ft. If his speed at A (θ = 0°) is a constant vP = 80 ft/s, determine the vertical force the seat belt must exert on him to hold him to his seat when the plane is upside down at A. He weighs 150 lb.