Three cables pull on the pipe such that they create a 72281

Three cables pull on the pipe such that they create a resultant force having a magnitude of 900 lb. If two of the cables are subjected to known forces, as shown in the figure, determine the angle θ of the third cable so that the magnitude of force F in this cable is a minimum. All forces lie in the x–y plane. What is the magnitude of F?

600 lb 30 400 lb

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