Moments of inertia of spheres without integration in arbitrary dimensions

Seok In Hong; Seok Cheol Hong

doi:10.1088/0143-0807/35/2/025003

Moments of inertia of spheres without integration in arbitrary dimensions

Seok In Hong, Seok Cheol Hong

Department of Physics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We obtain generalized formulae for the moments of inertia of D( 2)-dimensional uniform solid spheres and spherical shells without actual integration. The derivation is based on the parallel axis theorem and the (generalized) perpendicular axis theorem along with rotational symmetry.

Original language	English
Article number	025003
Journal	European Journal of Physics
Volume	35
Issue number	2
DOIs	https://doi.org/10.1088/0143-0807/35/2/025003
Publication status	Published - 2014 Mar

Keywords

arbitrary dimension
moment of inertia
parallel axis theorem
perpendicular axis theorem
sphere
spherical symmetry
without integration

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1088/0143-0807/35/2/025003

Cite this

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title = "Moments of inertia of spheres without integration in arbitrary dimensions",

abstract = "We obtain generalized formulae for the moments of inertia of D( 2)-dimensional uniform solid spheres and spherical shells without actual integration. The derivation is based on the parallel axis theorem and the (generalized) perpendicular axis theorem along with rotational symmetry.",

keywords = "arbitrary dimension, moment of inertia, parallel axis theorem, perpendicular axis theorem, sphere, spherical symmetry, without integration",

author = "Hong, {Seok In} and Hong, {Seok Cheol}",

year = "2014",

month = mar,

doi = "10.1088/0143-0807/35/2/025003",

language = "English",

volume = "35",

journal = "European Journal of Physics",

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T1 - Moments of inertia of spheres without integration in arbitrary dimensions

AU - Hong, Seok In

AU - Hong, Seok Cheol

PY - 2014/3

Y1 - 2014/3

N2 - We obtain generalized formulae for the moments of inertia of D( 2)-dimensional uniform solid spheres and spherical shells without actual integration. The derivation is based on the parallel axis theorem and the (generalized) perpendicular axis theorem along with rotational symmetry.

AB - We obtain generalized formulae for the moments of inertia of D( 2)-dimensional uniform solid spheres and spherical shells without actual integration. The derivation is based on the parallel axis theorem and the (generalized) perpendicular axis theorem along with rotational symmetry.

KW - arbitrary dimension

KW - moment of inertia

KW - parallel axis theorem

KW - perpendicular axis theorem

KW - sphere

KW - spherical symmetry

KW - without integration

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DO - 10.1088/0143-0807/35/2/025003

M3 - Article

AN - SCOPUS:84899539451

SN - 0143-0807

VL - 35

JO - European Journal of Physics

JF - European Journal of Physics

IS - 2

M1 - 025003

ER -

Moments of inertia of spheres without integration in arbitrary dimensions

Abstract

Keywords

ASJC Scopus subject areas

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