Moments of inertia for solids of revolution and variational methods

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dc.creatorDiaz, Rodolfo A.
dc.creatorHerrera, William J.
dc.creatorMartinez, R.
dc.date2005-07-23
dc.date2006-01-11
dc.date.accessioned2026-07-07T06:43:23Z
dc.date.available2026-07-07T06:43:23Z
dc.descriptionWe present some formulae for the moments of inertia of homogeneous solids of revolution in terms of the functions that generate the solids. The development of these expressions exploits the cylindrical symmetry of these objects, and avoids the explicit use of multiple integration, providing an easy and pedagogical approach. The explicit use of the functions that generate the solid gives the possibility of writing the moment of inertia as a functional, which in turn allows us to utilize the calculus of variations to obtain a new insight into some properties of this fundamental quantity. In particular, minimization of moments of inertia under certain restrictions is possible by using variational methods.
dc.description6 pages, 6 figures, LaTeX2e. Two paragraphs added. Minor typos corrected. Version to appear in European Journal of Physics
dc.identifierhttps://arxiv.org/abs/physics/0507172
dc.identifierhttp://arxiv.org/abs/physics/0507172
dc.identifierEur. J. Phys. 27 (2006) 183-192
dc.identifierdoi:10.1088/0143-0807/27/2/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102395
dc.subjectPhysics Education
dc.subjectGeneral Physics
dc.titleMoments of inertia for solids of revolution and variational methods
dc.typetext

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