dorsal/arxiv
View SchemaMoments of inertia for solids of revolution and variational methods
| Authors | Rodolfo A. Diaz, William J. Herrera, R. Martinez |
|---|---|
| Categories | |
| ArXiv ID | physics/0507172 |
| URL | https://arxiv.org/abs/physics/0507172 |
| DOI | 10.1088/0143-0807/27/2/001 |
| Journal | Eur. J. Phys. 27 (2006) 183-192 |
Abstract
We 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.
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"abstract": "We present some formulae for the moments of inertia of homogeneous solids of\nrevolution in terms of the functions that generate the solids. The development\nof these expressions exploits the cylindrical symmetry of these objects, and\navoids the explicit use of multiple integration, providing an easy and\npedagogical approach. The explicit use of the functions that generate the solid\ngives the possibility of writing the moment of inertia as a functional, which\nin turn allows us to utilize the calculus of variations to obtain a new insight\ninto some properties of this fundamental quantity. In particular, minimization\nof moments of inertia under certain restrictions is possible by using\nvariational methods.",
"arxiv_id": "physics/0507172",
"authors": [
"Rodolfo A. Diaz",
"William J. Herrera",
"R. Martinez"
],
"categories": [
"physics.ed-ph",
"physics.gen-ph"
],
"doi": "10.1088/0143-0807/27/2/001",
"journal_ref": "Eur. J. Phys. 27 (2006) 183-192",
"title": "Moments of inertia for solids of revolution and variational methods",
"url": "https://arxiv.org/abs/physics/0507172"
},
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