用非惯性系中的角动量定理分析飓风球的运动  

Analysis of the Motion of Hurricane Balls by Angular Momentum Theorem in Non Inertial System

作　　者：陈影 张艳燕[1] 马晓栋[1] CHEN Ying;ZHANG Yan-yan;MA Xiao-dong(College of Physics and Electronic Engineering,Xinjiang Normal University,Urumqi,Xinjiang,830054,China)

机构地区：[1]新疆师范大学物理与电子工程学院,新疆乌鲁木齐830054

出　　处：《新疆师范大学学报（自然科学版）》2022年第2期48-53,共6页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：国家自然科学基金(10864006、11264039);新疆高校科研计划重点项目(XJED2010141)。

摘　　要：飓风球是大学生物理学术竞赛中一道十分有趣的题目。文章推导非惯性系中的角动量定理,以飓风球与地面的接触点为参考点,应用非惯性系中的角动量定理,分析飓风球的运动,包括飓风球翘起的原因和飓风球稳定的进动。这个题目较为复杂,解答过程头绪繁多,文章由浅入深逐步展开讨论,对其物理过程及其细节进行了深入细致的研究。相对现有的相关分析力学研究,文章辅以几何作图进行推导,直观形象、清楚透彻;鉴于一般教材缺少对任意运动点的角动量定理,文章的研究可以作为一个补充实例。Hurricane balls is a very interesting topic in college physics academic competition.This paper deduces the angular momentum theorem in the non inertial system.Taking the contact point between the hurricane balls and the ground as the reference point,and applying the angular momentum theorem in the non inertial system,this paper analyzes the motion of the hurricane balls,including the cause of the warping of the hurricane balls and the stable precession of the hurricane balls.This topic is very complex,and there are many clues in the solution process.We discussed it step by step from shallow to deep,and made a careful and in-depth study on its physical process and details.Compared with the existing research on analytical mechanics,this paper is supplemented by geometric drawing for derivation,which is intuitive,clear and thorough;in view of the lack of angular momentum theorem for arbitrary moving points in general teaching materials,the research of this paper can be used as a supplementary example.

关 键 词：角动量定理 惯性力 拉格朗日方程 飓风球 

分 类 号：O469[理学—凝聚态物理]