AN ELEMENTARY TREATISE ON THE
DYNAMICS OF A PARTICLE AND OF
RIGID BODIES

Table of Contents

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