非惯性系下质点的运动规律研究

Study on the Motion Law of Particles in Non-Inertial System

摘要: 力学教科书中，依据牛顿运动定律仅推导出了在惯性系和“特殊非惯性系”(质心系)下质点运动定理及其相应守恒定律的数学表达形式。为了便于在“一般非惯性系”下研究质点的运动规律，本文基于牛顿运动定律，推导出了“一般非惯性系”下质点的动量定理、动能定理、角动量定理及其相应守恒定律的数学表达形式。

Abstract: In mechanics textbook, according to Newton’s law motion, only the mathematical expression of particle motion theorem and its corresponding conservation law in inertial system and “special Non-Inertial system” (center of mass system) are deduced. In order to study the motion law of particle in “general Non-Inertial system”, based on Newton’s law of motion, this paper deduces the momentum theorem, kinetic energy theorem, angular momentum theorem of particles in “general Non-Inertial system” and their corresponding conservation laws.