As shown in the figure below, a string attached to a vertical wall passes over a pulley at the end of a horizontal rod, and supports a sphere. The horizontal rod has a length L = 0.200 m, the mass of the sphere is M = 1.50 kg, the string makes an angle = 34.0 with the rod, and, when the string is plucked, the fundamental frequency of standing waves in the portion of the string above the rod is f = 67.0 Hz. Determine the mass of the portion of the string above the rod (in g). g L 0 M