大学物理 ›› 2021, Vol. 40 ›› Issue (12): 74-.doi: 10.16854 / j.cnki.1000-0712.210076

• 大学生园地 • 上一篇    下一篇

下落的塔稳定性条件探究

肖向君,陈可鉴,刘天奇   

  1. 1. 北京师范大学物理学系 ,北京 100875; 2. 北京师范大学天文学系,北京 100875
  • 收稿日期:2021-02-15 修回日期:2021-04-16 出版日期:2021-12-10 发布日期:2021-12-16
  • 作者简介:肖向君( 2001—) ,女,湖南衡阳人,北京师范大学物学系 2019 级本科生.

Investigation of stability conditions for falling tower

XIAO Xiang-jun¹,CHEN Ke-jian²,LIU Tian-qi¹   

  1. 1.Department of Physics,Beijing Normal University,Beijing 100875,China; 2. Department of Astronomy,Beijing Normal University,Beijing 100875,China
  • Received:2021-02-15 Revised:2021-04-16 Online:2021-12-10 Published:2021-12-16

摘要:

把相同的圆盘摞起来以形成一个自立式的塔,底部的圆盘能通过施加一个突然的水平力来去除,同时保持塔的剩余部分立着坐落在桌面上.本文将探究此现象并确定允许塔保持站立的条件.理论方面,分阶段进行了动力学分析,发现判断塔是否发生坍塌的关键在于塔触地瞬间的位形.实验方面,创新地采用电机转轴带动绳子拉圆盘以施加水平力,提升了实验的可控性和可重复性;探究了水平力作用点高度、圆盘厚度与半径之比、塔层数对塔稳定性的影响.理论与实验趋势大体较好符合,两者差异处有合理的分析与解释.

关键词: 下落的塔, 圆盘, 水平力, 稳定性

Abstract:

Identical discs are stacked one on top of another to form a freestanding tower. The

bottom disc can be removed by applying a sudden horizontal force such that the rest of the

tower will drop down onto the surface and the tower remains standing. Investigate the phenomenon

and determine the conditions that allow the tower to remain standing. Theoretically,the dynamic

analysis is carried out by stages,and it is found that the key to judge whether the tower collapses

lies in the position of the tower at the moment when it hits the ground. In the experiment,the ro-

tating shaft of the motor is used to drive the rope to pull the disc to exert horizontal

force,which improves the con- trollability and repeatability of the experiment. The effects of the

height of the horizontal force point,the ratio of the disc thickness to the radius and the number

of layers on the stability of the tower are investigated. The theoretical and

experimental trends are in good agreement,and the differences between them are analyzed and

explained.

Key words:  falling tower, disc, horizontal force, stability