高师理科学刊2026，Vol.46Issue(5)：106-110,5.DOI:10.3969/j.issn.1007-9831.2026.05.018
质点在均为时间的单值函数主动力作用下的两个力学规律
Two mechanical laws for a particle under the action of various active forces of single-valued functions of time
邵云 1丁宗妍 1王芷琪1
作者信息
- 1. 南京晓庄学院 电子工程学院,江苏 南京 211171
- 折叠
摘要
Abstract
Deduces that when the forces acting on a particle are all single-valued functions of time t and are independent of each other,the specific connotation of the principle of independent action of forces is as follows,the vector sum of the accelerations,velocity increments,and displacement increments produced by each single force acting alone is equal to the acceleration,velocity increment,and displacement increment produced by the resultant force,respectively.It also points out that the essence of this connotation lies in the independence of these vectors.Under the same premise,further deduces that the condition for the so-called"principle of independent action of work"to hold is that the sum of the scalar products between the impulses of each single force is zero;and it presents two typical scenarios.Finally,it is pointed out that inconsistent paths of doing work and inconsistent meanings of force are two reasons why the"principle of independent action of work"generally does not hold.The two mechanical laws deduced in the article may provide some reference for basic mechanics teaching.关键词
力的独立作用原理/"功的独立作用原理"/合力/单力/t的单值函数Key words
principle of independent action of force/"principle of independent action of work"/resultant force/single force/single valued function of t分类
数理科学引用本文复制引用
邵云,丁宗妍,王芷琪..质点在均为时间的单值函数主动力作用下的两个力学规律[J].高师理科学刊,2026,46(5):106-110,5.
