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Moments of inertia of spheres without integration in arbitrary dimensions
- Authors
- Hong, Seok-In; Hong, Seok-Cheol
- Issue Date
- 3월-2014
- Publisher
- IOP PUBLISHING LTD
- Keywords
- moment of inertia; parallel axis theorem; perpendicular axis theorem; sphere; arbitrary dimension; without integration; spherical symmetry
- Citation
- EUROPEAN JOURNAL OF PHYSICS, v.35, no.2
- Indexed
- SCIE
SCOPUS
- Journal Title
- EUROPEAN JOURNAL OF PHYSICS
- Volume
- 35
- Number
- 2
- ISSN
- 0143-0807
- 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.
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