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Equimomental Tetrads of a Rigid Body

Published online by Cambridge University Press:  31 October 2008

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A lamina of mass m can be replaced by an equimomental system of three equal particles m placed at the vertices of a maximum inscribed triangle of a momental ellipse for the centre of mass. Similarly any rigid body can be replaced by an equimomental system of four equal particles (cf. Routh, Elementary Rigid Dynamics, 7th ed. (1905), Art. 44 and Note, p. 423).

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1930