منابع مشابه
Floating Bodies of Equilibrium
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 ρ = 1/2 there are one-parameter families of cross-sections for ρ 6= 1/2 which have a p-fold rotation axis. For given p they ...
متن کاملWave drag on floating bodies.
We measure the deceleration of liquid nitrogen drops floating at the surface of a liquid bath. On water, the friction force is found to be about 10 to 100 times larger than on a solid substrate, which is shown to arise from wave resistance. We investigate the influence of the bath viscosity and show that the dissipation decreases as the viscosity is increased, owing to wave damping. The measure...
متن کاملFloating Bodies of Equilibrium I
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 ρ = 1/2 there are one-parameter families of cross-sections for ρ = 1/2 which have a p-fold rotation axis. For given p they e...
متن کاملFloating Bodies of Equilibrium II
In a previous paper (physics/0203061) ”Floating bodies of equilibrium” we have shown that there exist two-dimensional non-circular crosssections of bodies of homogeous density ρ 6= 1/2 which can float in any orientation in water, which have a p-fold rotation axis. For given p they exist for p− 2 different densities. However, this was found only in a Taylor-expansion in a parameter which describ...
متن کاملArchimedes’ floating bodies on a spherical Earth
Archimedes was the first to systematically find the centers of gravity of various solid bodies and to apply this concept in determining stable configurations of floating bodies. In this paper, we discuss an error in a proof developed by Archimedes that involves determining whether a uniform, spherical cap will float stably with its base horizontal in a liquid on a spherical Earth. We present a ...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2019
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms.12226