College Physics ›› 2022, Vol. 41 ›› Issue (4): 14-.doi: 10.16854/j.cnki.1000-0712.210273

Previous Articles     Next Articles

The moments of inertia of elliptical rings and  elliptical plates in polar coordinates

LI Lei,CAI Yue,LI Wenjun,LIU Tingting,WAN Huijun   

  1. Department of Physics, Jinggangshan University, Ji’an, Jiangxi 343009, China
  • Received:2021-06-01 Revised:2021-09-03 Online:2022-04-20 Published:2022-04-20

Abstract: In this work, the moments of inertia JF (JO) about an axis through its foci (centroid) and perpendicular to the plane of the elliptical ring and elliptical plate are calculated in polar coordinates. Furthermore, the dependence of moment of inertia JF (JO) on eccentricity e for elliptical ring and elliptical plate is also studied.

Key words: moment of inertia, elliptical ring, elliptical plate, polar coordinate