An m = 0.20 kg uniform rod is L = 20 cm long. The rod is pivoted at one end and the other end is attached to a horizontal k = 3.0 N/m spring. When the rod hangs straight down, the spring is neither stretched nor compressed. Assume in this problem that the rod's angular displacement from vertical is always small.
(a) Find the period of oscillation both symbolically and numerically.
(b) If the rod were not attached to the spring, would the end of the rod leave the end of the spring? Explain your reasoning.