考虑绳及圆盘质量时对Atwood机运动的影响

求解Atwood机动力学问题,教材中通常把绳子及滑轮当做理想模型(不考虑它们的质量).本文利用动力学的方法,考虑了Atwood机中滑轮、绳的质量,对其实际情况下的运动进行了求解,分析了两者质量及重物的初位移对系统运动的影响,指出了与理想模型之间的差异.

Effect of massive string and pulley on the motion of Atwood machine

The string and pulley are often used as ideal models(e.g., Atwood machine with a massless pulley and a massless string) in textbooks to solve the dynamics problem of Atwood machine. The dynamical methods are used to describe the motion of Atwood machine with a massive string. The effects on the system motion caused by the mass of the pulley, the mass of the massive string and the initial position of the weight are analyzed. Furthermore, the difference between the ideal model described in the text book and the motion of the Atwood machine under the real conditions is discussed.