论质点运动学的内禀方程及其应用  

DISCUSSION ON THE INTRINSIC EQUATION OF PARTICLE KINEMATICS AND ITS APPLICATIONS

作　　者：严导淦[1] 

机构地区：[1]同济大学物理教研室,上海200092

出　　处：《物理与工程》2014年第6期13-16,共4页Physics and Engineering

摘　　要：在理工科大学物理课程的教学中,一般只讨论变速圆周运动,本文着重讨论自然坐标系及其给出的内禀方程,并举例详述它在求解质点曲线运动问题时的重要性.这对刚学过的高等数学知识可获得一次应用的机会,有助于学生今后对本课程和后续课程的巩固和提高运用高等数学知识解决问题的能力.这也是本课程的"教学基本要求"对力学部分施教过程中的一项重要意图.Commonly,in the teaching of the college physics courses for the scientific and engineering specialty,people only discuss the circular motion with the changed velocity.In this paper,we mainly discuss the intrinsic equation of particle kinematics in the natural reference frame,and elucidate its importance in solving particle＇s curvilinear motion problems by examples.This work provides a chance for the students to apply their knowledge of high mathematics,and helps them to consolidate this course and the following courses.To promote the students＇ability of solving problems with the knowledge of high mathematics is also an important intent of this course during the teaching process of the mechanics part according to the＂basic request of teaching＂.

关 键 词：内禀方程 质点曲线运动 切向加速度 法向加速度 曲率半径 

分 类 号：O311.1-4[理学—一般力学与力学基础] G642[理学—力学]