Early work in the rational mechanics of constrained motion (2024)

Philosophical Mechanics in the Age of Reason

Katherine Brading andMarius Stan

Published:

2024

Online ISBN:

9780197678985

Print ISBN:

9780197678954

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Philosophical Mechanics in the Age of Reason

Katherine Brading andMarius Stan

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Katherine Brading,

Katherine Brading

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Marius Stan

Marius Stan

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Pages

231–262

  • Published:

    January 2024

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Brading, Katherine, and Marius Stan, 'Early work in the rational mechanics of constrained motion', Philosophical Mechanics in the Age of Reason (New York, 2024; online edn, Oxford Academic, 22 Feb. 2024), https://doi.org/10.1093/oso/9780197678954.003.0008, accessed 20 Apr. 2024.

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Abstract

After 1700, the motion of bodies with constraints (internal and external) takes center stage in rational mechanics. In Chapter 8, the authors review the early decades of the century, highlighting developments that were to prove most salient for the problem of bodies. Of particular interest is the wealth of work during this period on the vibrating string and the compound pendulum. Theorists at this time seek general principles and uniform methods for treating constraints. But, as the authors show, they generally fall short of these desiderata. That insufficient outcome would shape the agenda for rational mechanics through the latter half of the century.

Keywords: Brook Taylor, Johann Bernoulli, Clairaut, constrained motion, vibration theory, centroid, rigid body, law of motion, mechanical principle

Subject

History of Western Philosophy

Collection: Oxford Scholarship Online

Philosophical Mechanics in the Age of Reason. Katherine Brading and Marius Stan, Oxford University Press. © Oxford University Press 2023. DOI: 10.1093/oso/9780197678954.003.0008

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