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

ID: 2251737 • Letter: A

Question

A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.4 kg and the sign has a mass of ms = 15.4 kg. The length of the beam is L = 2.82 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 ? = 32.7.


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 = 819 N. What is the maximum mass sign that can be hung from the beam?

Explanation / Answer

Q>


A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.6 kg and the sign has a mass of ms = 16.5 kg. The length of the beam is L = 2.73 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 ? = 34.3

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