Hjem

1. The Foundation of Classical Mechanics.-
1.1 Principia.-
1.2 Prerequisites for Newton.-
1.3 The Masterpiece.-
1.4 Concluding Remarks.-
1.5 Problems.-
2. Newton''s Five Laws.-
2.1 Newton''s Laws of Motion.-
2.2 Integration of the Equation of Motion.-
2.3 Problems.-
3. Gravitational and Inertial Mass.-
3.1 Gravitational Mass.-
3.2 Inertial Mass.-
3.3 Proportionality Between Inertial and Gravitational Mass.-
3.4 Newtonl''s Experiment.-
3.5 Problem.-
4. The Galilei Transformation.-
4.1 The Galilei Transformation.-
4.2 Galileo Speaks.-
4.3 Problems.-
5. The Motion of the Earth.-
5.1 Examples.-
5.2 Problems.-
6. Motion in Accelerated Reference Frames.-
6.1 Newton''s 2nd Law Within Accelerated Reference Frames.-
6.2 The Equivalence Principle of Mechanics.-
6.3 The Einstein Box.-
6.4 The Centrifugal Force.-
6.5 Tidal Fields.-
6.6 The Coriolis Force.-
6.7 Tidal Forces and Local Inertial Frames.-
6.8 The Foucault Pendulum.-
6.9 Newton''s Bucket.-
6.10 Review: Fictitious Forces.-
6.11 Problems.-
7. The Problem of Motion.-
7.1 Kinematic and Dynamic Views of the Problem of Motion.-
7.2 Einstein Speaks.-
7.3 Symmetry.-
7.4 The Symmetry (Invariance) of Newton''s 2nd Law.-
7.5 Limited Absolute Space.-
7.6 The Asymmetry (Variance) of Newton''s 2nd Law.-
7.7 Critique of the Newtonian View.-
7.8 Concluding Remarks.-
8. Energy.-
8.1 Work and Kinetic Energy.-
8.2 Conservative Force Fields.-
8.3 Central Force Fields.-
8.4 Potential Energy and Conservation of Energy.-
8.5 Calculation of Potential Energy.-
8.6 The Gravitational Field Around a Homogeneous Sphere.-
8.7 Examples.-
8.8 Review: Conservative Forces and Potential Energy.-
8.9 Problems.-
9. The Center-of-Mass Theorem.-
9.1 The Center of Mass.-
9.2 The Center-of-Mass Frame.-
9.3 Examples.-
9.4 Review: Center of Mass andCenter-of-Mass Theorems.-
9.5 Comments on the Conservation Theorems.-
9.6 Problems.-
10. The Angular Momentum Theorem.-
10.1 The Angular Momentum Theorem for a Particle.-
10.2 Conservation of Angular Momentum.-
10.3 Torque and Angular Momentum Around an Axis.-
10.4 The Angular Momentum Theorem for a System of Particles.-
10.5 Center of Gravity.-
10.6 Angular Momentum Around the Center of Mass.-
10.7 Review: Equations of Motion for a System of Particles.-
10.8 Examples of Conservation of Angular Momentum.-
11. Rotation of a Rigid Body.-
11.1 Equations of Motion.-
11.2 The Rotation Vector.-
11.3 Kinetic Energy of a Rotating Disk.-
11.4 Angular Momentum of an Arbitrary Rigid Body in Rotation Around a Fixed Axis.-
11.5 Calculation of the Moment of Inertia for Simple Bodies.-
11.6 Equation of Motion for a Rigid Body Rotating Around a Fixed Axis.-
11.7 Work and Power in the Rotation of a Rigid Body Around a Fixed Axis.-
11.8 The Angular Momentum Theorem Referred to Various Points.-
11.9 Examples.-
11.10 Review: Linear Motion and Rotation About a Fixed Axis. 266
11.11 Problems.-
12. The Laws of Motion.-
12.1 Review: Classical Mechanics.-
12.2 Remarks on the Three Conservation Theorems.-
12.3 Examples.-
12.4 Problems.-
13. The General Motion of a Rigid Body.-
13.1 Inertia in Rotational Motion.-
13.2 The Inertia Tensor.-
13.3 Euler''s Equations.-
13.4 Kinetic Energy.-
13.5 Determination of the Principal Coordinate System.-
13.6 Problems.-
14. The Motion of the Planets.-
14.1 Tycho Brahe.-
14.2 Kepler and the Orbit of Mars.-
14.3 Conic Sections.-
14.4 Newton''s Law of Gravity Derived from Kepler''s Laws.-
14.5 The Kepler Problem.-
14.6 The Effective Potential.-
14.7 The Two-Body Problem.-
14.8 Double Stars: The Motion of the Heliocentric Reference Frame.-
14.9 Review: KeplerMotion.-
14.10 Examples.-
14.11 Problems.-
15. Harmonic Oscillators.-
15.1 Small Oscillations.-
15.2 Energy in Harmonic Oscillators.-
15.3 Free Damped Oscillations.-
15.4 Energy in Free, Weakly Damped Oscillations.-
15.5 Forced Oscillations.-
15.6 The Forced Damped Harmonic Oscillator.-
15.7 Frequency Characteristics.-
15.8 Power Absorption.-
15.9 The Q-Value of a Weakly Damped Harmonic Oscillator.-
15.10 The Lorentz Curve.-
15.11 Complex Numbers.-
15.12 Problems.-
16. Remarks on Nonlinearity and Chaos.-
16.1 Determinism vs Predictability.-
16.2 Linear and Nonliner Differential Equations.-
16.3 Phase Space.-
16.4 A Forced, Damped Nonlinear Oscillator.-
16.5 Liapunov Exponents.-
16.6 Chaos in the Solar System.-
16.7 Problems.- Appendix. Vectors and Vector Calculus.- Selected References.- Answers to Problems.