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A gymnast with mass 47.0 kg stands on the end of a uniform balance beam as shown in the figure. The beam is 4.60 m long and has a mass of 260 kg (excluding the mass of the two supports). Each support is 0.530 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?

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