1. The problem statement, all variables and given/known data Consider a gymnast on a bean placed on upright posts. The beam has a mass of 10kg and the gymnast has a mass of 50kg. The beam is 5 meters long, and the gymnast is 1 meter from the right side. The gymnast may be treated as a particle. Find the force exerted by each support on the beam. There are two unknowns in the problem, and thus we need two equations.