A ball placed inside a hollow cylinder and spun around an axis perpendicular to the cylinder wall will roll back and forth along the cylinder wall, as expected, but it will also oscillate along the axial direction of the cylinder. These axial oscillations occur in horizontal, tilted, and even vertical cylinders. Here, the equations of motion for this setup are derived and discussed, and experimental results are presented along with a discussion of the observed energy losses.

中文翻译：

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装订球和滚下管

如预期的那样，放置在空心圆柱体内并围绕垂直于圆柱壁的轴旋转的球会沿着圆柱壁来回滚动，但是也会沿着圆柱的轴向振动。这些轴向振荡发生在水平，倾斜甚至垂直的圆柱体中。在这里，导出并讨论了此设置的运动方程，并给出了实验结果以及对观察到的能量损失的讨论。