A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.9 kg and the sign has a mass of ms = 15.3 kg. The length of the beam is L = 2.55 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 = 32.5°.
1) What is the net force the hinge exerts on the beam?
2) The maximum tension the wire can have without breaking is T = 892 N.
What is the maximum mass sign that can be hung from the beam?