A meterstick is supported at its center, which is aligned with the center of a cradle located at position \(x = 0\,\text{m}\). Two identical objects of mass \(1.0\,\text{kg}\) are suspended from the meterstick. One object hangs \(0.25\,\text{m}\) to the left of the support point, and the other object hangs \(0.50\,\text{m}\) to the right of the support point. The system is released from rest and is free to rotate. Which of the following claims correctly describes the subsequent motion of the system containing the meterstick, cradle, and the two objects?