关于魔力弹簧的收缩时间和上端运动问题  

On the Shrinkage time and upper end motion of magic springs

作　　者：于凤军[1] 张希威 汤振杰[1] 鞠林[1] 田俊龙 YU Feng-jun;ZHANG Xi-wei;TANG Zhen-jie;JU Lin;TIAN Jun-long(College of Physics and Electrical Engineering,Anyang Normal University,Anyang,Henan 455000,China;College of Physical Science and Technology,Guangxi Normal University,Guilin,Guangxi 541001,China)

机构地区：[1]安阳师范学院物理与电气工程学院,河南安阳455000 [2]广西师范大学物理科学与技术学院,广西桂林541001

出　　处：《大学物理》2024年第5期13-18,共6页College Physics

基　　金：安阳师范学院教育教学改革研究与实践项目(ASJY-2021-CYB-020)资助;国家自然科学基金(11961131010)资助项目;河南省科技攻关项目(172102210092)资助。

摘　　要：针对有关魔力弹簧研究中的几个问题进行探讨和澄清.建立了预收缩力弹簧的模型,推出其形变规律.根据质心运动定理,导出这种弹簧自由下落时,收缩到原长所用的时间、其上端的运动方程和速度公式.研究表明,对于通常演示所用的魔力弹簧,在自由下落时的收缩阶段,其上端不是作匀速直线运动.Several issues related to the study of magic springs are explored and clarified.A model of pre retracting force spring is established and its deformation law is derived.According to the motion theorem of the center of mass,the time for the spring to shrink to the original length,the equations of motion of its upper end and the speed formula are derived when the spring falls freely,and the applicable conditions of the contraction time formula in some current literatures are given.Research has shown that for the magic spring commonly used in demonstrations,during the contraction phase of free fall,its upper end does not move uniformly in a straight line.

关 键 词：魔力弹簧 预收缩力弹簧 收缩时间 质心运动定理 

分 类 号：O31[理学—一般力学与力学基础]