CONTENTS Preface   III CHAPTER I

DEFINITIONS AND PRINCIPLES OF ELEMENTARY DYNAMICS

§1. Translation and Rotation

ART.   PAGE

1. Linear Motion: Definitions and Units   1

2. Angular Motion: Definitions and Units   3

3. Composition and Resolution of Forces   5

4. Composition and Resolution of Uniform Linear Velocities and

Accelerations. Solved Problem   7

5. Composition and Resolution of Torques   10

6. Composition and Resolution of Angular Velocities, Accelerations

and Moments    10

7. The Relation between the Angular Velocity of a Body and the

Linear Velocity of any Point of the Body   11

8. The Relation between the Angular Acceleration of a Body and the

Linear Acceleration of any Point of the Body   11

9. Centripetal and Centrifugal Forces   12

10. The Dynamic Vertical and the Dynamic Horizontal   12

11. Moment of Inertia   13

12. Values of the Moments of Inertia of Certain Bodies   15

13. Axes of the Principal Moments of Inertia of a Body    15 14. Centripetal Forces Acting on an Unsymmetrical Pendulum Bob... 16

15. The Relation between Torque and Angular Momentum   17

16. Conservation of Angular Momentum   20

17. Centroid, Center of Gravity and Center of Mass   21

§2. Simple Harmonic Motion

18. Simple Harmonic Motion of Translation   22

19. The Period of a Simple Harmonic Motion of Translation   24

20. Simple Harmonic Motion of Rotation   25

21. The Physical Pendulum   28

22. The Conical Pendulum   29

23. Wave Motions and Wave Forms   30

24. Phase and Phase Angle   32 25. The Mean Value of the Product of Two Simple Harmonic Func

tions of Equal Period    33

26. Oscillation of a Coupled System. Resonance   36

27. Damping of Vibrations    39

28. The Frahm Anti-Roll Tanks   42

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