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Three cables pull on the pipe such that they create a resultant force having magnitude FR. If two of the cables are subjected to known forces, as shown in the figure, determine the direction θ of the third cable so that the magnitude of force F in this cable is a minimum. All forces lie in the xâ€“y plane. What is the magnitude of F? Hint: First find the resultant of the two known forces.

Given:

FR = 900 lb

F1 = 600 lb

F2 = 400 lb

α = 45 deg

β = 30 deg

Given:

FR = 900 lb

F1 = 600 lb

F2 = 400 lb

α = 45 deg

β = 30 deg

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