An Elementary Treatise on the Dynamics of a Particle and of Rigid Bodies
Published on 23. February 2017
Book
Paperback/Softback
394 pages
978-1-316-63333-5 (ISBN)
Description
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.
More details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 216 mm
Width: 140 mm
Thickness: 23 mm
Weight
554 gr
ISBN-13
978-1-316-63333-5 (9781316633335)
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Schweitzer Classification
Content
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.