Q. A 76 g, 40-{rm cm}-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?
Q. A gymnast with mass m1 = 42 kg is on a balance beam that sits on (but is not attached to) two supports. The beam has a mass m2 = 106 kg and length L = 5 m. Each support is 1/3 of the way from each end. Initially the gymnast stands at the left end of the beam.