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Geometry of Masses

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Classical Mechanics

Part of the book series: Cornerstones ((COR))

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Abstract

A distribution of masses within a bounded set \(E \subset {\mathbb{R}}^{3}\)is described by a measure μ. The symbol dμ(P) is the elemental mass about P as measured by μ.

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Notes

  1. 1.

    The terminology deflection moments will be justified in §5 of Chapter 7 and in particular, Remark 5.2.

  2. 2.

    In general σ is not positive definite. For an axial distribution of masses σ is degenerate.

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Correspondence to Emmanuele DiBenedetto .

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© 2011 Springer Science+Business Media, LLC

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DiBenedetto, E. (2011). Geometry of Masses. In: Classical Mechanics. Cornerstones. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4648-6_4

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