Moments of inertia of spheres without integration in arbitrary dimensions

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.

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Bibliographic Details
Published inEuropean journal of physics Vol. 35; no. 2; pp. 25003 - 7
Main Authors Hong, Seok-In, Hong, Seok-Cheol
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.03.2014
Subjects
arbitrary dimension
Derivation
moment of inertia
Moments of inertia
parallel axis theorem
perpendicular axis theorem
Rotational
sphere
Spherical shells
spherical symmetry
Symmetry
Theorems
without integration
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Summary: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.
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ISSN:0143-0807
1361-6404
DOI:10.1088/0143-0807/35/2/025003