CONTENTS, 



PAET I, 

 GENERAL PRINCIPLES. 



CHAPTER 1 

 Kinematics of a Point. Laws of Motion. 



Art. 

 1. 

 2. 

 3. 

 4. 

 5. 

 6. 

 7. 

 8. 

 9. Acceleration 



Dynamics . 

 Kinematics . 

 Scalars and Vectors 

 Addition of Vectors 

 Moments . 

 Velocity . . 

 Polar Coordinates 

 Sector Velocity 



CHAPTER II. 

 Important Particular Motions of a Material Point. 



18. Constant Accelerations 



19. Harmonic Motions . . 



20. Central Forces 



33 21. Constrained Motion 

 35 22. Plane Pendulum . . 

 38 23. Spherical Pendulum 



41 

 45 



48 



CHAPTER III. 

 General Principles. Work and Energy. 



24. Work 56 



25. Statics. Virtual Work . . 57 



26. D'Alembert's Principle . . 63 



27. Energy. Conservative Systems. 

 Impulse 65 



28. Particular Case of Force- 

 function . 73 



29. Calculus of Variations. Bra- 

 chistochrone 77 



30. Dependence of Line Integral on 

 Path. Stokes's Theorem. Curl 84 



31. Lamellar Vectors .... 87 



32. Motion of the Center of Mass 89 



33. Moment of Momentum . . 94 



