Magnitude and Direction of Tension

The three ropes in the figure are tied to a small, very lightring. Two of these ropes are anchored to walls at right angles withthe tensions shown in the figure.

What is the magnitude of the tension T3 in the third rope?
T3 =
√(T12 +T22) = 94.3 n
T3 = 94 N
What is the direction of the tension T3 in the third rope?
Horizontal Tan
= tan-1(80/50)
=directed 58o below horizontal

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