A hardworking engineering student is designing a lever system that will slowly lower the lever and its load. The 10 kg slender rod BC has a mass m=5 kg attached at the rod's center of gravity G, and a length L=0.6 m. If the rod is released from rest when the spring is unstarched at theta = 30 degrees, determine the spring constant k needed to obtain an angular velocity of 0.5 rad/s at the instant theta-60 degrees. As the rod rotates, the spring always remains horizontal because of the roller support at A. A K miny 3 mi G l