A 76 g, 40cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 10 g ball of clay traveling horizontally at 2....

A 76 g, 40cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 10 g ball of clay traveling horizontally at 2.7 m/s hits and sticks to the very bottom tip of the rod.To what maximum angle, measured from vertical, does the rod (with the attached ball of clay) rotate?