应用等效势能求解非惯性系中相对平衡的力学问题

THE APPLICATION OF EQUIVALENT POTENTIAL ENERGY TO THE SOLUTION OF THE MECHANICAL PROBLEM OF RELATIVE EQUILIBRIUM IN NONINERTIAL SYSTEMS

本文从既有平动加速度又有定轴转动角加速度的非惯性系出发,指出平动惯性力和惯性离心力都是有势力,并且针对平动加速度和转动角速度都是常矢量的简单情况,给出了这两种力的等效势能具体表达式。最后通过例题说明,采用对势能求极值的方法,可以在非惯性系中讨论相对平衡的稳定性。

In this article we point out that, in noninertial systems with translatory and angual acceleration, both the translatory inertial force and centrifugal inertial force are potential forces, and give two forms of equivalent potential energy for the two forces. Examples are given to discuss the stability of relative equilibrium in the noninertial systems through the extremum of the potential energy.