小滑块在非光滑平面上运动再研究

摘要

This paper analyzes a basic model of the slider movement on non-smooth plane, which is the movement of a small slider sliding from inclined plane to horizontal plane. Through experiment and theoretical analysis, we found that a completely inelastic oblique collision happens between the slider and the horizontal plane. Accordingly, the distance of the small slider sliding on the horizontal plane L=H/μ(1-μcotθ), which is derived from the classical solving method, is wrong, and it should be. L=H/μ(1-μcotθ)cos2θ.%研究滑块在非光滑平面上运动时的一种基本模型,即小滑块从斜面上滑向水平面的运动.实验加理论分析指出滑块与水平面发生了完全非弹性斜碰,故经典求解方法得出的小滑块在水平面上可运动距离L=H/μ(1-μcotθ)是错误的,正确的结果是L=H/μ(1-μcotθ)cos2θ.