物理实验2024,Vol.44Issue(2) :52-57,63.DOI:10.19655/j.cnki.1005-4642.2024.02.008

旋转圆环槽中珠子的动力学性质研究

Study on dynamic properties of beads in rotating ring groove

黄欣雅 王本阳 王新顺 潘玉寨 刘一 王先杰
物理实验2024,Vol.44Issue(2) :52-57,63.DOI:10.19655/j.cnki.1005-4642.2024.02.008

旋转圆环槽中珠子的动力学性质研究

Study on dynamic properties of beads in rotating ring groove

黄欣雅 1王本阳 1王新顺 1潘玉寨 1刘一 1王先杰2
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作者信息

  • 1. 哈尔滨工业大学(威海)理学院,山东 威海 264209
  • 2. 哈尔滨工业大学 物理学院,黑龙江 哈尔滨 150001
  • 折叠

摘要

从非惯性系下的质心运动定理出发,建立空间转动坐标系,研究了珠子在绕竖直轴旋转的圆环槽中相对于环的运动所对应的理论,包括珠子相对于底部和侧壁的不同状态的运动方程,滚滑运动和纯滚动之间的转换条件,运动过程中的科里奥利力以及珠子的平衡位置.实验中忽略空气阻力和非弹性碰撞对珠子运动的影响,研究了环转速、环中心到珠子球心的距离和滑动摩擦系数对珠子运动进程和平衡位置的影响.采用珠子位于环槽内部的简化模型,增加了珠子运动的自由度.

Abstract

Starting from the motion law of the center of mass in the non-inertial frame,a space ro-tation coordinate system was established,and the theory on the motion of the bead relative to the ring in a circular groove rotating around the vertical axis was studied,including the equations of motion de-scribing the different states of the bead relative to the bottom and side walls and the transition condi-tions between rolling and sliding motion and pure rolling,as well as the Coriolis force during motion and the equilibrium position of the bead.The effects of three parameters,including the rotational speed of the ring,the distance from the center of the ring to the center of the bead and the coefficient of sliding friction on bead movement process and the equilibrium position of the bead were investigated experimentally.The simplified model that the bead was situated on the bottom of the groove was a-dopted,where the free degreee of the motion of the bead was increased.

关键词

珠子动力学/纯滚动/滚滑运动/科里奥利力

Key words

dynamics of beads/pure rolling/rolling and sliding motion/Coriolis force

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基金项目

教育部高等学校大学物理课程教学指导委员会资助项目(DWJZW202227hd)

教育部产学合作协同育人项目(220606071140728)

出版年

2024
物理实验
东北师范大学

物理实验

影响因子:0.573
ISSN:1005-4642
参考文献量16
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