This classic textbook is the first of two complementary volumes. Dealing with elementary dynamics, it was written for those proposing to take, and those preparing for, their first examination in an Honours Course in Mathematics at a university. Besides examples for readers to solve, the book has in it a number of worked examples varying from simple illustrations of the theory to more advanced work. Some knowledge of elementary dynamics on the part of the reader has been assumed.
Table of Contents
1. Introduction; 2. Vectors; 3. Rectilinear motion. Kinematics; 4. Rectilinear motion. Kinetics; 5. Kinematics in two dimensions; 6. Dynamical problems in two dimensions; 7. Harmonic motion; 8. Motion under constraint; 9. The law of reaction. General Principles; 10. General problems; 11. Impulsive motion; 12. Polar coordinates. Orbits; 13. Moments of inertia; 14. Motion of a rigid body, energy and momentum; 15. Equations of motion of a rigid body; 16. Miscellaneous problems; 17. Small oscillations.