A child is swinging on a tire swing. The tension on the rope is equal to the downward force on the end of the rope times sec , where is the angle formed by a vertical line and the rope.
a. The downward force in newtons equals the mass of the child and the swing in kilograms times the acceleration due to gravity (9.8 meters per second squared). If the mass of the child and the tire is 73 kilograms, find the downward force.
b. Write an equation that represents the tension on the rope as the child swings back and forth.
