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429. [R. 4. a.] Three equal smooth spheres of radius r rest in a hollow hemisphere of radius R with their centres in the same horizontal plane; a cone whose weight is equal to the weight of a sphere and whose semivertical angle is a, is inserted symmetrically between the spheres with its vertex downwards; prove that the spheres will separate if

Published online by Cambridge University Press:  03 November 2016

Abstract

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Type
Solutions
Copyright
Copyright © Mathematical Association 1904

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