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Isotropic inertia tensor without symmetry of mass distribution

  • Conventional calculations of the inertia tensor in undergraduate physics course are usually done for highly symmetrical bodies. Students might therefore get the impression that the moment of inertia about any axis through the center of mass is the same only for bodies with the highest degree of symmetry relative to this point, e.g., for spheres. A simple, seemingly counterintuitive example is presented, showing that the moment of inertia of a non-regular body, here an assembly of material points, can be the same about any axis passing through its center of mass.

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Author:Andrei A. SnarskiiORCiD, Sergii Podlasov, Mikhail Shamonin (Chamonine)ORCiDGND
DOI:https://doi.org/10.1119/10.0005416
Parent Title (English):American Journal of Physics
Publisher:AIP Publishing
Document Type:Article
Language:English
Year of first Publication:2021
Release Date:2022/02/02
Volume:89
Issue:10
First Page:916
Last Page:920
Institutes:Fakultät Elektro- und Informationstechnik
Fakultät Elektro- und Informationstechnik / Labor Intelligente Materialien und Strukturen
Begutachtungsstatus:peer-reviewed
research focus:Produktion und Systeme
Licence (German):Keine Lizenz - Es gilt das deutsche Urheberrecht: § 53 UrhG