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Question:

Physics AS: Tension in 2 wires.?

A toy of 2.8N is suspended by two wires from a horizontal beam.One wire is 40 degrees to the vertical of the beam.The other is at 60 degrees to the beam.What is the tension in each wire?

Answer:

The horizontal tensions in the two wires must be equal. The vertical tensions must add to 2.8N. Let the tension in the wires be t1 and t2. t1 * sin(40) <== horizontal tension in wire 1 t1 * cos(40) <== vertical tension in wire 1 t2 * sin(60) <== vertical tension in wire 2 t2 * cos(60) <== horizontal tension in wire 2 t1^2 = (horizontal tension in wire 1)^2 + (vertical tension in wire 1)^2 t2^2 = (horizontal tension in wire 2)^2 + (vertical tension in wire 2)^2

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