A gymnast with mass 42.0 kg stands on the end of a uniform balance beam as shown in the figure. The beam is 5.30 m long and has a mass of 230 kg (excluding the mass of the two supports). Each support is 0.540 m from its end of the beam. In unit-vector notation, what are the forces on the beam due to (a) support 1 and (b) support 2?