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Classical Mechanics pp 107–206Cite as

Statics and Dynamics in Generalized Coordinates

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Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 29))

Abstract

We will consider a discrete (lumped) material system (DMS) in Euclidean space E 3 composed of N particles of masses m 1, m 2, …, m N (see [1]), presented in Fig. 3.1, which, as mentioned earlier, will be called a discrete mechanical system.

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Notes

  1. 1.

    Heinrich Hertz (1857–1894), German physicist and mechanician working on contact problems and electromagnetic waves.

  2. 2.

    Joseph Lagrange (1736–1813), distinguished French and Italian mathematician and astronomer, working also in Berlin.

  3. 3.

    Edward Routh (1831–1907), English mathematician who played a significant role in the theory of control and stability.

  4. 4.

    William Hamilton (1805–1865), Irish mathematician, physician, and astronomer.

  5. 5.

    Philip E. B. Jourdain (1879–1919), English scientist.

  6. 6.

    Johann Peter Dirichlet (1805–1859), German mathematician of French origin working in Wrocław, Göttingen, and Berlin.

  7. 7.

    Evangelista Torricelli (1608–1647), Italian physicist and mathematician.

  8. 8.

    Adrien-Marie Legendre (1752–1833), French mathematician.

  9. 9.

    Ludwig Otto Hesse (1811–1874), German mathematician mainly working on the problem of algebraic invariance.

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Authors and Affiliations

  1. Department of Automation & Biomechanics, Łódź University of Technology, Łódź, Poland

    Jan Awrejcewicz

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  1. Jan Awrejcewicz
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Awrejcewicz, J. (2012). Statics and Dynamics in Generalized Coordinates. In: Classical Mechanics. Advances in Mechanics and Mathematics, vol 29. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3740-6_3

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