A woman sits in a rigid position in the middle of the swing. The combined weight of the woman and swing is W and the radius of gyration about the center of mass G is k_G. If a man pushes on the swing with a horizontal force F as shown, determine the initial angular acceleration and the tension in each of the two supporting chains AB. During the motion, assume that the chain segment CAD remains rigid. The swing is originally at rest.

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Given: W = 180 lb KG = 2.5 ft F = 20 lb a = 4 ft b = 1.5 ft c = 0.4 ft C g = 32.2 ft 2 S