The 40-kg wheel has a radius of gyration about its center of gravity G of k_G = 250 mm. 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 = 100 N/m and an unstretched length of 500 mm. The wheel is released from rest.

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200 mm + 200 mm 400 mm B G -1500 mm k = 100 N/m A