大学物理 ›› 2021, Vol. 40 ›› Issue (7): 75-.doi: 10.16854 / j.cnki.1000-0712.200366

• 大学生园地 • 上一篇    下一篇

硬币“跳舞”的动力学分析

胡 立   

  1. 北京师范大学 物理学系,北京 100875
  • 收稿日期:2020-08-15 修回日期:2020-11-06 出版日期:2021-07-06 发布日期:2021-07-12
  • 作者简介:胡立( 1999—) ,男,四川广元人,北京师范大学物理学系 2017 级本科生.

Dynamic analysis of dancing coin

HU Li   

  1. Department of Physics,Beijing Normal University,Beijing 100875,China
  • Received:2020-08-15 Revised:2020-11-06 Online:2021-07-06 Published:2021-07-12

摘要: 本文从动力学的角度,对 2018 年国际青年物理学家锦标赛( IYPT2018) 的第三个课题“跳舞的硬币”进行了理论分析,得到了在单次跳动过程中硬币翘起高度随时间变化的图像.同时,提出了“放置误差”的概念,并进一步讨论了硬币的放置误差对硬币翘起高度的影响,发现放置误差越大,硬币翘起越快,翘起的最大高度也越大. 实验方面,用高速摄像机对不同放置误差下硬币跳舞的过程进行录制,并用 tracker 进行追踪.通过实验结果与理论模型的对比,验证了理论模型的正确性.

关键词: 动力学, IYPT, 跳舞的硬币, 放置误差

Abstract: From the perspective of dynamics,this paper conducts a theoretical analysis on the third

problem of the 2018 International Young Physicists’Tournament ( IYPT2018) ,“Dancing Coin”,and

obtains the change in the height of the coin over time during a single beating. At the

same time,the concept of “place error”is pro- posed,and the influence of coin place error

on the coin’s tilting height is further discussed. It is found that the greater the

place error,the faster the coin will rotate and the greater the maximum height of the

coin will be reached. In the experiment,the process of coin dancing under different place

errors was recorded with a high-speed camera,and software tracker was used to track. The

comparison between the experimental results and the theoretical model verifies the

correctness of the theoretical model.

Key words: dynamics, IYPT, dancing coin, place error