dorsal/arxiv
View SchemaFloating Bodies of Equilibrium I
| Authors | Franz Wegner |
|---|---|
| Categories | |
| ArXiv ID | physics/0203061 |
| URL | https://arxiv.org/abs/physics/0203061 |
Abstract
A long cylindrical body of circular cross-section and homogeneous density may float in all orientations around the cylinder axis. It is shown that there are also bodies of non-circular cross-sections which may float in any direction. Apart from those found by Auerbach for rho=1/2 there are one-parameter families of cross-sections for rho not= 1/2 which have a p-fold rotation axis. For given p they exist for p-2 densities rho. There are strong indications, that for all p-2 densities one has the same family of cross-sections. (Proven in physics/0205059)
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"abstract": "A long cylindrical body of circular cross-section and homogeneous density may\nfloat in all orientations around the cylinder axis. It is shown that there are\nalso bodies of non-circular cross-sections which may float in any direction.\nApart from those found by Auerbach for rho=1/2 there are one-parameter families\nof cross-sections for rho not= 1/2 which have a p-fold rotation axis. For given\np they exist for p-2 densities rho. There are strong indications, that for all\np-2 densities one has the same family of cross-sections. (Proven in\nphysics/0205059)",
"arxiv_id": "physics/0203061",
"authors": [
"Franz Wegner"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"title": "Floating Bodies of Equilibrium I",
"url": "https://arxiv.org/abs/physics/0203061"
},
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