质心法求解滑轮系统运动

Solving the Motion of Pulley System Using Center of Mass Method

目前教材对于滑轮问题的求解主要采用牛顿第二定律或分析力学的方法,本文在考虑粗绳质量的情况下,解得滑轮系统的质心,结合能量守恒定律,可求得系统的速度和加速度,为解决此类问题提供了一种简单方便的解法.此方法物理意义清晰,丰富了教材内容.

Solving of the kinematics problem of the pulley system is mainly used by Newtonian mechanics or analytical mechanics in textbooks.In this work,a method of solving the centroid of pulley system is presented.The velocity and acceleration of the system can be easily obtained by considering of the mass of massive string and combing with the law of conservation of energy.It provides a simple and convenient solution for this kind of problems.In addition,it has clear physical meaning and enriches the contents of the textbooks.