大学物理 ›› 2023, Vol. 42 ›› Issue (1): 4-.doi: 10.16854/j.cnki.1000-0712.220312

• 教学讨论 • 上一篇    下一篇

弹簧摆在匀强磁场中的运动分析

孟勇   

  1. 宁波大学 物理科学与技术学院,浙江 宁波315211
  • 收稿日期:2022-06-25 修回日期:2022-07-14 出版日期:2023-03-14 发布日期:2023-03-09
  • 作者简介:孟勇(1992—),男,安徽合肥人,宁波大学物理科学与技术学院2016级硕士

Motionanalysis of spring pendulum in uniform magnetic field

MENG Yong   

  1. School  of  Physical Science and Technology, Ningbo University, Ningbo, Zhejiang 315211, China
  • Received:2022-06-25 Revised:2022-07-14 Online:2023-03-14 Published:2023-03-09

摘要: 针对带有电荷的弹簧摆施加在竖直方向的匀强磁场的背景下,通过牛顿力学的方法得到了其运动学方程,从而发现其摆动平面在不停的进行旋转.同时按照初始条件的不同,将其在水平方向上的运动学方程化简为不同的曲线方程,进而得到了其运动的轨迹特征. 

关键词: 弹簧摆, 匀强磁场, 玫瑰曲线, 内摆线, 轨迹特征

Abstract: Aiming at the background of the charged spring pendulum exerting a uniform magnetic field in the vertical direction, its kinematic equation is obtained by the method of Newtonian mechanics, and it is found that its swing plane is constantly rotating. At the same time, according to the different initial conditions, the kinematic equations in the horizontal direction are simplified into different curve equations, and then the trajectory characteristics of its motion are obtained.

Key words: spring pendulum, uniform magnetic field, rose curve, hypocycloid, trajectory feature