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A purple beam is hinged to a wall to hold up a blue sign. The beam...

A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.1 kg and the sign has a mass of ms = 16.5 kg. The length of the beam is L = 2.85 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 ? = 31.5°.

1. What is the tension in the wire?

2. What is the net force the hinge exerts on the beam?

3. The maximum tension the wire can have without breaking is T = 967 N. What is the maximum mass sign that can be hung from the beam?

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Answer #1

9ine the beam s not movi tane =1468.96|N y tan 31:5 ansmb 3 3(9 )a

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