The 50-lb wheel has a radius of gyration about its center of gravity G of K_G = 0.7 ft. If it rolls without slipping, determine its angular velocity when it has rotated clockwise 90° from the position shown. The spring AB has a stiffness k = 1.20 lb/ft and an unstretched length of 0.5 ft. The wheel is released from rest.

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0.5 ft + 0.5 ft 1 ft G 3 ft k = 1.20 lb/ft A