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Geometry of Masses

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Classical Mechanics

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 28))

Abstract

Let us consider a system of particles \({A}_{n}\ (n = 1,\ldots,N)\) of masses m n and radius vectors r n with respect to a certain adopted coordinate system OX 1 X 2 X 3 (see also [19]).

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Notes

  1. 1.

    The theorems are named after the mathematicians Pappus, who worked in Alexandria and lived in the third or fourth century AD, and Guldin (Guldinus), who in 1635 formulated the results of his work on the center of gravity.

  2. 2.

    Jakob Steiner (1796–1863), Swiss mathematician and outstanding geometer, working mainly at Humboldt University in Berlin.

  3. 3.

    Otto Mohr (1835–1918), German engineer.

References

  1. J.L. Synge, B.A. Griffith, Principles of Mechanics (McGraw-Hill, Tokyo, 1970)

    Google Scholar 

  2. V. Barger, M. Olsson, Classical Mechanics: A Modern Perspective (McGraw-Hill, Tokyo, 1994)

    Google Scholar 

  3. H. Goldstein, C.P. Poole, J.L. Safko, Classical Mechanics (Addison-Wesley, Reading, 2001)

    Google Scholar 

  4. T.W. Kibble, F.H. Berkshire, Classical Mechanics, 5th edn. (Imperial College Press, Danvers, 2004)

    Google Scholar 

  5. F.B. Beer, E.R. Johnston, Vector Mechanics for Engineers. Statics and Dynamics, 8th edn. (McGraw-Hill Higher Education, Boston, 2007)

    Google Scholar 

  6. Z. Osinski, General Mechanics (PWN, Warsaw, 1994), in Polish

    Google Scholar 

  7. R. Buczkowski, A. Banaszek, Vector and Tensor Mechanics (Statics) (WNT, Warsaw, 2006), in Polish

    Google Scholar 

  8. J. Leyko, General Mechanics (PWN, Warsaw, 1996), in Polish

    Google Scholar 

  9. W. Kurnik, Lectures on General Mechanics (Warsaw University of Technology Press, Warsaw, 2005), in Polish

    Google Scholar 

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© 2012 Springer Science+Business Media New York

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Awrejcewicz, J. (2012). Geometry of Masses. In: Classical Mechanics. Advances in Mechanics and Mathematics, vol 28. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3791-8_3

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