关于动点的动量矩定理及其教学处理  

THEOREM OF MOMENT OF MOMENTUM ABOUT A MOVING POINT AND ITS TEACHING ASPECTS

作　　者：陈立群[1,2] 魏莎 CHEN Liqun;WEI Sha(Department of Mechanics,School of Mechanics and Engineering Science,Shanghai University,Shanghai 200444,China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200070,China)

机构地区：[1]上海大学力学与工程科学学院力学系,上海200444 [2]上海大学上海市应用数学和力学研究所,上海200070

出　　处：《力学与实践》2024年第6期1251-1254,共4页Mechanics in Engineering

摘　　要：本文讨论关于动点的动量矩定理的教学。考察了几种理论力学教材中对不同形式的动量矩定理的处理,包括关于固定点的动量矩定理、关于质心的绝对和相对动量矩定理以及关于任意动点的绝对和相对动量矩定理。分别基于关于质心的相对动量矩定理和关于任意动点的绝对动量矩定理,给出了关于任意动点相对动量矩定理两种新的推导。Teaching the theorem of moment of momentum about a moving point is discussed.A few textbooks of theoretical mechanics are reviewed in the treatments of different forms the theorem of moment of momentum,including the theorems of moment of momentum about a fixed point,the mass center,and an arbitrary moving point as well as the theorems of moment of relative momentum about the mass center and an arbitrary moving point.Two new derivations of the theorem of the relative moment of momentum about an arbitrary moving point are proposed based on the theorem of relative moment of momentum about the mass center and the theorem of moment of momentum about an arbitrary moving point,respectively.

关 键 词：动力学 动量矩定理 相对运动 教学 

分 类 号：O313.2[理学—一般力学与力学基础]