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Part 1. The Winning of the Principles: 1. Introduction 2. The beginnings of statics. Archimedes. Problem of the lever and of the centre of gravity 2. Experimental verification and applications of the principle of the lever 3. The centre of gravity 4. The balance 5. Stevinus of Bruges. The principle of the inclined plane 6. The parallelogram of forces 7. The principle of virtual work 8. Review of the principles of statics 9. The beginnings of dynamics. Galileo. The problem of falling bodies 10. Huyghens. The problem of uniform motion in a circle. 'Centrifugal force' 11. Final statement of the principles of dynamics. Extension to the motions of the heavenly bodies. The law of universal gravitation. Newton Part II. Mathematical Statement of the Principles: Introduction 12. Kinematics 13. Kinetics of a particle moving in a straight line. The laws of motion 14. Experimental verification of the laws of motion. Atwood's machine 15. Work and energy 16. The parallelogram law 17. The composition and resolution of forces. Resultant. Component. Equilibrium 18. Forces in one plane 19. Friction Part III. Application to Various Problems: 20. Motion on an inclined plane. Brachistochrones 21. Projectiles 22. Simple harmonic motion 23. The simple pendulum 24. Central forces. The law of gravitation 25. Impact and impulsive forces Part IV. The Elements of Rigid Dynamics: 26. The compound pendulum. Huyghens' solution 27. D'alembert's principle 28. Moment of inertia 29. Experimental determination of moments of inertia 30. Determination of the value of gravity by Kater's pendulum 31. The constant of gravitation, or weighing the Earth. The Cavendish experiment Answers to the examples Index.
Part 1. The Winning of the Principles: 1. Introduction 2. The beginnings of statics. Archimedes. Problem of the lever and of the centre of gravity 2. Experimental verification and applications of the principle of the lever 3. The centre of gravity 4. The balance 5. Stevinus of Bruges. The principle of the inclined plane 6. The parallelogram of forces 7. The principle of virtual work 8. Review of the principles of statics 9. The beginnings of dynamics. Galileo. The problem of falling bodies 10. Huyghens. The problem of uniform motion in a circle. 'Centrifugal force' 11. Final statement of the principles of dynamics. Extension to the motions of the heavenly bodies. The law of universal gravitation. Newton Part II. Mathematical Statement of the Principles: Introduction 12. Kinematics 13. Kinetics of a particle moving in a straight line. The laws of motion 14. Experimental verification of the laws of motion. Atwood's machine 15. Work and energy 16. The parallelogram law 17. The composition and resolution of forces. Resultant. Component. Equilibrium 18. Forces in one plane 19. Friction Part III. Application to Various Problems: 20. Motion on an inclined plane. Brachistochrones 21. Projectiles 22. Simple harmonic motion 23. The simple pendulum 24. Central forces. The law of gravitation 25. Impact and impulsive forces Part IV. The Elements of Rigid Dynamics: 26. The compound pendulum. Huyghens' solution 27. D'alembert's principle 28. Moment of inertia 29. Experimental determination of moments of inertia 30. Determination of the value of gravity by Kater's pendulum 31. The constant of gravitation, or weighing the Earth. The Cavendish experiment Answers to the examples Index.
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