A uniform, 1.00-m stick hangs from a horizontal axis at one end and oscillates as a physical pendulum. An object of small dimensions and with mass equal to that of the meter stick can be clamped to the stick at a distance y below the axis let T represent the period of the system with the body attached and to the period of the meter stick alone.
(a) Find the ratio TITo. Evaluate your expression for y ranging from 0 to 1.0 m in steps of 0.1 m, and graph TITo versus y.
(b) Is there any value of y, other than y = 0, for which T = To? If so, find it and explain why the period is unchanged when y has this value.