滑轮运动问题的深入探讨

The further discussion on the dynamics of pulley

阿特伍德机中在滑轮与绳都有质量的情况下,直接应用动量定理方法推导出阿特伍德机绳子两侧张力和重物加速度的理论表达式,并讨论了不同绳重下加速度a(t)随时间变化规律以及速度v与运动距离h的关系.

In Atwood’s machine,when both pulley and string have mass,the theoretical expressions of tension on both sides of the string and of acceleration of weight objects are derived using momentum theorem.The acceleration a(t)changing with time and the relationship between velocity v and moving distance h under different string weights are discussed.