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4 July, 17:19

A traffic light weighs 214.8 N and is supported by two wires with an angle of 129.4° between them. If the tensions in the wires are equal, what is the tension in each wire?

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  1. 4 July, 17:25
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    118.8 N

    Explanation:

    Weight of the light, W = 214.8 N

    Angle between two wires, 2θ = 129.4°

    Let t be the tension in each wire. Now the vertical components of tension is balanced by the weight of the light.

    2 T Sinθ = W

    2 x T x Sin 64.7° = 214.8

    1.808 T = 214.8

    T = 118.8 N

    Thus, the tension in each wire is 118.8 N.
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