A 50 lb bar rotates clockwise 2 rad/s. The spring attached to its end always remains vertical due to the roller guide at C. If the spring has an unstretched length of 2 ft and a stiffness of k=6lb/ft, determine the angular velovity of the bar the instant it has rotated 30 clockwise

image is a bar horizontal at end spring is attached and is vertical, at other end of spring is a roller(C)