傅科摆的几何分析  

GEOMETRIC ANALYSIS OF FOUCAULT PENDULUM

作　　者：王睿垠 袁威[2] 冯放[1] 金长江[1] WANG Ruiyin;YUAN Wei;FENG Fang;JIN Changjiang(College of Arts and Sciences,Northeast Agricultural University,Harbin 150030,China;School of Engineering,Northeast Agricultural University,Harbin 150030,China)

机构地区：[1]东北农业大学文理学院,哈尔滨150030 [2]东北农业大学工程学院,哈尔滨150030

出　　处：《力学与实践》2020年第4期478-484,共7页Mechanics in Engineering

基　　金：东北农业大学2020年教育教学研究入库培育项目;黑龙江省高等教育教学改革研究项目(SJGY20190071);“东北农业大学大北农学者计划”教育学人基金(JYXRRK2019012)资助。

摘　　要：傅科摆以最美的物理实验著称,但对傅科摆的解释一直是大学物理课程的难点。与牛顿力学采用科里奥利力论证傅科摆的传统方法相比,本文采用了几何方法来研究傅科摆,并指出傅科摆的转动是在球面上平移速度矢量的结果,最后给出了几何方法和牛顿力学解法的等价性证明。The Foucault pendulum is well kmown as one of the most beautiful physics experiments,but the explanation of the Foucault pendulum is always difficult in the college physics course.Unlike the method of Newtonian mechanics,which introduces the Coriolis force to explain the rotation of the Foucault pendulum,this paper uses a geometric method to analyze the Foucault pendulum,and it is shown that the rotation of the Foucault pendulum is the result of translating the velocity vector of the pendulum on the sphere.Finally,the equivalence of the geometric method and the Newtonian mechanics method is proven.

关 键 词：傅科摆 微分几何 协变导数 科里奥利力 

分 类 号：O302[理学—力学]