关于质点动力学两类问题的讨论

Discussion on Two Types of Fundamental Problems in Dynamics

研究质点动力学为的是求解两类问题 :一是已知运动求力 ,二是已知力求运动 .具体求解方法可归结为求导数、求解微分方程或求积分 .运用这些方法解题 ,尤其是解第二类问题 ,有一定难度 .对此提供一些常见类型的求解方法 。

This article discusses two types of fundamental problems in dynamics:one is to find the forces by the motion's being given;and the other is to find a body's motion by the forces' acting being given.The concrete solving process can be reduced to finding derivative,differential equation or integral.There are some difficulties in applying the above solutions to practice,especially in dealing with the second type.The paper provides some common solutions and probes into the corresponding relation between motion and force.