Advanced Engineering Dynamics

1. Basic considerations; 2. Introduction; 3. Newton's Laws; 4. Systems of Units; 5. Vector Calculus; 6. Energy and Momentum; 7. Brief Biographical Perspective; 8. Particle Kinematics; 9. Path Variables-Intrinsic Coordinates; 10. Rectangular Cartesian Coordinates; 11. Orthogonal Curvilinear Coordinates; 12. Joint Kinematical Descriptions; 13. Relative Motion; 14. Rotation Transformations; 15. Finite Rotations; 16. Angular Velocity and Derivatives of Rotating Vectors; 17. Angular Acceleration; 18. Derivative of an Arbitrary Factor; 19. Velocity and Acceleration Using a Moving Reference Frame; 20. Observations from a Moving Reference System; 21. Kinematics of Rigid Bodies; 22. General Equations; 23. Eulerian Angles; 24. Interconnections; 25. Rolling; 26. Newtonian Kinetics of a Rigid Body; 27. Fundamental Principles; 28. Evaluations of Angular Momentum and Inertia Properties; 29. Rate of Change of Angular Momentum; 30. Equations of Motion; 31. Planar Motion; 32. Impulse-Momentum and Work-Energy Principles; 33. System of Rigid Bodies; 34. Introduction of Analytical Mechanics; 35. Generalized Coordinates and Degrees of Freedom; 36. Constraints - Holonomic and Nonholonomic; 37. Virtual Displacements; 38. Generalized Forces; 39. Hamilton's Principle; 40. Lagrange's Equations. 41. Further Concepts in Analytical Mechanics; 42. Constrained Generalized Coordinates; 43. Computational Methods in the State-Space; 44. Hamiltonian Mechanics and Further Conservation Principles; 45. Gibbs-Appell Equations for Quasi-Coordinates; 46. Gyroscopic Effects; 47. Free Motion; 48. Spinning Top; 49. Gyroscopes for Inertial Guidance; Appendix; Answers to even-numbered problems; Index.