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Moments of inertia of spheres without integration in arbitrary dimensions
- Hong, Seok-In;
- Hong, Seok-Cheol
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6초록
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.
키워드
moment of inertia; parallel axis theorem; perpendicular axis theorem; sphere; arbitrary dimension; without integration; spherical symmetry
- 제목
- Moments of inertia of spheres without integration in arbitrary dimensions
- 저자
- Hong, Seok-In; Hong, Seok-Cheol
- 발행일
- 2014-03
- 유형
- Article
- 권
- 35
- 호
- 2