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A sign that weighs 400N is hanging from two cables that form angles of 24 degrees with the horizontal. What is the tension in each cable?

A sign that weighs 400N is hanging from two cables that form angles of 24 degrees with the horizontal. What is the tension in each cable?
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a sign that weighs 400N is hanging from two cables that form angles of 24 degrees with the horizontal. What is the tension in each cable?

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User WasimSafdar
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1 Answer

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Refer to the diagram shown below.

The tension, T, in each cable is the same because of vertical symmetry.

For vertical equilibrium,
2T sin(24°) = 400 N
0.8135 T = 400
T = 491.7 N

Answer: 491.7 N

a sign that weighs 400N is hanging from two cables that form angles of 24 degrees-example-1
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User Ace Troubleshooter
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