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Mobius环状体的转动惯量
引用本文:邱为钢. Mobius环状体的转动惯量[J]. 大学物理, 2020, 0(4): 16-17
作者姓名:邱为钢
作者单位:湖州师范学院求真学院公共教研部
基金项目:浙江省十三五师范教育创新工程资助。
摘    要:正三角形中心沿着圆周移动,同时绕垂直所在平面的对称轴转动.移动一个圆周后,转动角是120度的整数倍,与起始位形重合,形成一个Mobius环状体.给出了这个扭转体参数形式的坐标表示,由定义直接积分计算得到了扭转体对3个坐标轴的转动惯量.

关 键 词:正三角形  Mobius环状体  转动惯量

Rotational inertia of a Mobius ring body
QIU Wei-gang. Rotational inertia of a Mobius ring body[J]. College Physics, 2020, 0(4): 16-17
Authors:QIU Wei-gang
Affiliation:(Qiuzheng School,Huzhou Teachers College,Huzhou,Zhejiang 313000,China)
Abstract:The center of a regular triangle translates along a circle while rotate along the axis perpendicular to the triangle plane and through the center.If the rotation angle is an integer multiple of 120 degree,the rotated triangle coincides with the original one just after a round circle.This twisted rigid body is called Mobius ring body and its rectangular coordinates are given in the parameters form.Its rotational inertias are calculated just from the integration definition.
Keywords:Mobius ring  regular triangle  rotational inertia
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