The cord passing over the two small pegs A and B on the board is subjected to a tension of 10 lb. Determine the minimum tension P and the orientation θ of the cord passing over pegs C and D, so that the resultant couple produced by both cords is 20 lb · in. clockwise.

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-P 10 lb 30° A 15 in. 45° 15 in. B D 30° 10 lb P