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在近年的全国物理奥赛中,经常考查一些与摩擦角相关的问题.由于摩擦力的特殊性,使得对这一类竞赛题的分析和解答过程变得非常复杂,例如第二十届全国复赛试题中(例1题),在其标准解答中,不仅利用了物体不发生滑动的条件,共点力的平衡条件,而且还利用了非共点力的平衡条件,共建立了15个方程和23个等式.为了使解决此类摩擦角问题的方法更加简单和程序化,笔者根据摩擦角与全反力所在直线的斜率存在着特殊的关系,向大家介绍一种新的解法——“坐标法”.
In recent years, the National Physics Olympiad often examines some issues related to the friction angle. Due to the particularity of the friction, the process of analyzing and answering such competition questions becomes very complicated. For example, the 20th National Re-examination (Example 1), in its standard solution, not only the use of the object does not slip conditions, the total point of the balance conditions, but also the use of non-common -ality equilibrium conditions, a total of 15 equations and 23 In order to make the method to solve the problem of friction angle more simple and procedural, the author has a special relationship according to the slope of the line where the friction angle and the total reaction are located, and introduces a new solution - Coordinate method ".