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A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.7 kg and the sign has a mass of ms = 17.4 kg. The length of the beam is L = 2.83 m. The sign is attached at the very end of the beam, but the horizontal wire holding up the beam is attached 2/3 of the way to the end of the beam. The angle the wire makes with the beam is θ = 34.5°.

1.What is the net force the hinge exerts on the beam?
2.The maximum tension the wire can have without breaking is T = 946 N.
What is the maximum mass sign that can be hung from the beam?

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