An Elementary Treatise on the Dynamics of a Particle and of Rigid Bodies
An Elementary Treatise on the Dynamics of a Particle and of Rigid Bodies
£39.99
GBPOriginally 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.
Product details
February 2017Paperback
9781316633335
394 pages
220 × 140 × 25 mm
0.53kg
Available
Table of Contents
- 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.
