Solve Problem 4.140, subject to the restriction that H must lie on the y-axis.

PROBLEM 4.140

Two 2 × 4-ft plywood panels, each of weight 12 lb, are nailed together as shown. The panels are supported by ball-and-socket joints at A and F and by the wire BH. Determine (a) the location of H in the xy plane if the tension in the wire is to be minimum, (b) the corresponding minimum tension.

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12 lb 12 lb 2 ft 2 ft