物体沿圆轨道下滑的计算

Calculation of the Object along the Circular Track down

物体沿圆轨道下滑过程中摩擦力做功的计算,在力学中会经常遇到,也是一个比较简单的问题。我们用的传统方法是功能原理。本文则利用变力做功的定义和质点动能定理,在一些物理量未知的情况下,也可以对变力做功问题进行综合计算。计算过程中用到了高等数学中的分部积分和解一阶非奇次微分方程等一些数学知识,还运用计算机数学语言matlab进行求解方程,并制作出函数的二维图象。

To calculate the friction when objects decline along the circular orbit,is often encountered in mechanics,and is a simple problem.The traditional method we use is the functional principle.In this paper,with the definition of the variable force acting and the particle kinetic energy theorem,the calculation can change the forces acting in the case of some physical unknown.In the calculation process the settlement in the higher mathematics of first order non-singular differential equations and other mathematical knowledge are used,the computer language of mathematics matlab for solving equations is also used,and a two-dimensional image is prcduced.