水平面上圆盘的滚动运动
The Rolling Motion of a Disk on a Horizontal Plane
摘要：
最近对桌面上硬币旋转运动的老问题的兴趣集中在当硬币与桌面的角度α减小而接触点的角速度Ω增大时能量耗散的机制上。在回顾了薄圆盘在水平面上无滑动地滚动的一般运动方程之后，我们给出了关于运动随时间变化的简单实验结果，这些结果表明，在最后一个可观测周期之前，主要的耗散功率损耗与Ω ^2成正比。
英文摘要：
Recent interest in the old problem of the motion of a coin spinning on a tabletop has focused on mechanisms of dissipation of energy as the angle alpha of the coin to the table decreases, while the angular velocity Omega of the point of contact increases. Following a review of the general equations of motion of a thin disk rolling without slipping on a horizontal surface, we present results of simple experiment on the time dependence of the motion that indicate the dominant dissipative power loss to be proportional to the Omega^2 up to and including the last observable cycle.
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