The Motion of Solid Bodies

  • Danilo CapecchiEmail author
Part of the History of Mechanism and Machine Science book series (HMMS, volume 25)


This chapter concerns the study of the motion of bodies in the century of the Enlightenment. In the first part I introduce arguments about the great contribution of this century to mechanics. I then present the use of the principle of (the conservation of) living forces espoused by two of the major protagonists of the period, Johann and Daniel Bernoulli. With the principle of living forces the problems of motion of constrained solid bodies that were not possible to study with Newtonian mechanics were addressed. Then I present the different ways in which the theoretical mechanics will in fact be structured, that is as vector mechanics and as analytical mechanics. In this presentation the conceptions of the two greatest mathematicians of the second half of the XVIII century, Leonhard Euler and Lagrange are evidenced. The chapter closes with a presentation of the study of machines by Lazare Carnot who had a very important impact in applied mechanics of the XIX century.


Rigid Body Mass Point Virtual Work Constraint Force Heavy Body 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Facoltà di Architettura, Dipartimento di Ingegneria Strutturale e GeotecnicaUniversità di Roma La SapienzaRomeItaly

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