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An Elementary Treatise on the Dynamics of a System of Rigid Bodies: With Numerous Examples (Classic Reprint) - Softcover

Edward John Routh

 
9781330490860: An Elementary Treatise on the Dynamics of a System of Rigid Bodies: With Numerous Examples (Classic Reprint)

Synopsis

A clear, math‑driven guide to the motion of rigid bodies, with practical problems and solutions.

This book presents the dynamics of rigid bodies from foundational principles to advanced topics. It blends theory with worked examples, guiding readers through motion about fixed axes, two‑ and three‑dimensional motion, and the role of energy and momentum in complex systems. The treatment emphasizes systematic methods, including different coordinate approaches and key concepts like Euler’s equations, the moment of inertia, and the polhode and herpolhode, to build intuition and expertise.

  • Foundational ideas: D’Alembert’s principle, Euler’s equations, and how to apply them to rigid bodies.
  • Coordinate methods: moving and fixed axes, two‑ and three‑dimensional motion, and translating between representations.
  • Special topics: motion about a fixed point, small oscillations, vis viva, and the role of constraints and symmetry.
  • Extensive problem sets: numerous solved examples, numerical exercises, and challenging scenarios to build mastery.
Ideal for students and professionals seeking a rigorous, practical foundation in the dynamics of rigid bodies and its many applications.

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