Equilibria of Plane Convex Bodies
Keyword(s):
AbstractWe obtain a formula for the number of horizontal equilibria of a planar convex body K with respect to a center of mass O in terms of the winding number of the evolute of $$\partial K$$ ∂ K with respect to O. The formula extends to the case where O lies on the evolute of $$\partial K$$ ∂ K and a suitably modified version holds true for non-horizontal equilibria.
2001 ◽
Vol 25
(3)
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pp. 365-388
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Keyword(s):
1975 ◽
Vol 22
(3-4)
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pp. 203-207
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1999 ◽
Vol 59
(1)
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pp. 163-168
1989 ◽
Vol s2-40
(2)
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pp. 369-377
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