大学物理 ›› 2019, Vol. 38 ›› Issue (12): 44-.doi: 10.16854 /j.cnki.1000-0712.190168

• 大学生园地 • 上一篇    下一篇

用方位径向摆演示李萨如图形的研究

周渝涵,梁汉普,李川南,石礼伟   

  1. 中国矿业大学物理学院,江苏徐州221116
  • 收稿日期:2019-04-13 修回日期:2019-05-16 出版日期:2019-12-20 发布日期:2020-01-22
  • 通讯作者: 石礼伟,E-mail: slw@ cumt.edu.cn
  • 作者简介:周渝涵( 1998-) ,男,江苏徐州人,中国矿业大学物理学院2016 级本科生.
  • 基金资助:
    中国矿业大学“十三五”品牌培育专业项目———应用物理学资助

Research on the Lissajous figures using azimuthal-radial pendulum

ZHOU Yu-han,LIANG Han-pu,LI Chuan-nan,SHI Li-wei   

  1. School of Physical Science and Technology,China University of Mining and Technology,Xuzhou,Jiangsu 221116,China
  • Received:2019-04-13 Revised:2019-05-16 Online:2019-12-20 Published:2020-01-22

摘要:

通过对方位径向摆的弹性杆和摆球的固有振动频率进行分析,利用相机曝光方法研究了摆球李萨如图形.分析了摆线长度、初始释放角度、摆球质量等因素对摆球运行轨迹的影响,理论和实验符合较好.

关键词: 方位径向摆, 李萨如图, 相机曝光技术, 简谐振动

Abstract:

By analyzing the elastic rod of radial pendulum and the natural vibration frequency of the azimuthal-radial pendulum,the pendulum Lissajous figure is studied by using the method of camera exposure. We analyze the effects of some parameters including the length of the cycloid,the initial release angle and the quality of the pendulum on the trajectory of the pendulum. It is found that the experimental results consistent well with the theoretical predictions.

Key words: azimuthal-radial pendulum, Lissajous figures, camera exposure technique, simple harmonic motion