An Elementary Treatise on the Dynamics of a Particle and of Rigid Bodies

S. L. Loney

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English

Cambridge University Press
23 February 2017

Mathematics & Sciences; Differential calculus & equations; Fluid mechanics

Originally published in 1926, this informative and detailed textbook is primarily aimed at university students studying applied mathematics for a science or engineering degree and contains a large number of useful examples to work though. Basic knowledge of elementary dynamics is assumed throughout, as is a working knowledge of differential and integral calculus. Answers can be found at the back of the book, as well as a summary of the methods of solution of the equations contained. Examples are mostly collected from a variety of past university and college examination papers, and notably rigid dynamics has been confined to two-dimensional motion and omissions have been made to all reference of moving axes. Covering the topic in its entirety, this book gives a panoramic overview of the subject and will be of considerable value to anyone with a keen interest in mathematics and engineering, as well as the history of education.

By: S. L. Loney
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 220mm, Width: 140mm, Spine: 25mm
Weight: 530g
ISBN: 9781316633335
ISBN 10: 1316633330
Pages: 394
Publication Date: 23 February 2017
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Preface; 1. Fundamental definitions and principles; 2. Motion in a straight line; 3. Uniplanar motion where the accelerations parallel to fixed axes are given; 4. Uniplanar motion referred to Polar coordinates; 5. Uniplanar motion where the acceleration is towards a fixed centre and varies as the inverse square of the distance; 6. Tangenital and normal accelerations; 7. Motion in a resisting medium; 8. Oscillatory motion; 9. Motion in three dimensions. Acceleration in terms of Polar coordinates; 10. The hodograph; 11. Moments and products of inertia; 12. D'Alembert's principle; 13. Motion about a fixed axis; 14. Motion in two dimensions. Finite forces; 15. Motion in two dimensions. Impulsive forces; 16. Instantaneous centre; 17. Conservation of linear and angular momentum; 18. Lagrange's equations in generalised coordinates; 19. Small oscillations; 20. Motion of a top; Miscellaneous examples I; Miscellaneous examples II; Appendix on differential equations.