Using symmetries and generating functions to calculate and minimize moments of inertia

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dc.creatorDiaz, Rodolfo A.
dc.creatorHerrera, William J.
dc.creatorMartinez, R.
dc.date2004-04-01
dc.date2005-07-27
dc.date.accessioned2026-07-07T05:51:36Z
dc.date.available2026-07-07T05:51:36Z
dc.descriptionThis paper presents some formulae to calculate moments of inertia for solids of revolution and for solids generated by contour plots. For this, the symmetry properties and the generating functions of the figures are utilized. The combined use of generating functions and symmetry properties greatly simplifies many practical calculations. In addition, the explicit use of generating functions gives the possibility of writing the moment of inertia as a functional, which in turn allows to utilize the calculus of variations to obtain a new insight about some properties of this fundamental quantity. In particular, minimization of moments of inertia under certain restrictions is possible by using variational methods.
dc.description23 pages, 12 figures (8 in eps and 4 in pstricks). Minor changes in wording, section about calculus of variations corrected
dc.identifierhttps://arxiv.org/abs/physics/0404005
dc.identifierhttp://arxiv.org/abs/physics/0404005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86038
dc.subjectClassical Physics
dc.subjectGeneral Physics
dc.titleUsing symmetries and generating functions to calculate and minimize moments of inertia
dc.typetext

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