Two frictionless balls are placed in a frictionless bowl. The left ball, A, has a radius of 3.00 in. and a weight of 10.0 lbs. The right ball, B, has a radius of 2.00 in. and a weight of 3.00 lbs. The bowl is a hemisphere of radius 8.00 in. Find the equilibrium position of the system and the contact forces.