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有趣的玩具蕴含不少高深的物理,现象看起来非常简单直观,但分析起来需要普通物理甚至理论物理的知识.本文研究两个镶嵌雪花片在地面上的滚动轨迹.把雪花片(如图1所示)的侧边涂上颜料,在水平地面上滚动起来,颜料就在地面上留下两条对称的轨迹.仔细观察,这两条轨迹具有周期性,即某一特征曲线段周期重复.那么这个周期性轨迹是否具有解析表达式,周期长度与哪些几何(物理)量有关?
Interesting toys contain a lot of profound physics, the phenomenon looks very simple and intuitive, but the analysis requires common knowledge of physics or even theoretical physics.In this paper, two inlay snow flakes on the ground rolling trajectory of the snow flake (Figure 1 Shown on the side of the paint, rolling on a horizontal ground, the pigment left on the ground two symmetrical trajectory.When carefully observed, these two trajectories have a periodic, that is, a period of a characteristic curve segment is repeated. So does this periodic trajectory have analytical expressions, and what is the geometric (physical) amount of the periodicity?