Text: Jens M. Knudsen, Poul G. Hjorth: Elements of Newtonian Mechanics, 3rd edition, Springer-Verlag 2000
1.1 Introduction Free Fall Definite Integration Problem 1.6
1.2 Harmonic Oscillator Total Energy Visualize Motion Problem 1.12
1.3 Damped Harmonic Motion Weak and Strong Damping Critical Damping Energy in the Damped HO Quality factor derivation
1.4 Driven Harmonic Oscillator Solution Discussion Problem 15.4
1.5 Chaos in the Duffing Oscillator Poincare Section Maple-demo
1.6 Work and Energy in1D Motion Problem 2.4
1.7 Example: Free Fall towards the Sun Problem 2.9
1.8 Conservation of Linear Momentum Problem 2.17
1.9 Gravitational and Inertial Mass
1.10 Galilei Transformation Problem 4.2
2.1 Charged Particle in a Magnetic Field Solution
2.2 Earth’s Motion Cross Product Problem 5.1
2.3 Accelerated Reference Frames Transformation Transformation(…) Transformation Results
2.4 Einstein’s Equivalence Principle Problem 6.2
2.5 Centrifugal Force Problem 6.4
2.7 Coriolis Force Problem 6.6 Demo
2.8 Foucault Pendulum Solution Detail Maple-demo
3.1 Work and Energy Problem 8.6
3.2 Conservative Force Fields curl F = 0 Stokes’ Theorem Problem 8.20 (own)
3.3 Gravitational Potential Energy Calculation Solid Sphere Sun’s Self-Energy Problem 8.4
3.4 Centre-of-Mass Theorem Problem 9.1 Problem 9.6
3.5 Angular Momentum Kepler’s 2nd Law
3.6 Effective Potential in the Kepler Problem
3.7 Angular Momentum in a Many-Body System Demo1 Demo2
3.8 Classical Spin of a Rigid Body Problem 15.1
4.1 Rigid-body rotation basics Rotational kinetic energy Problem 11.20 (own)
4.2 Moments of inertia about different axes
4.3 Torsion pendulum and physical pendulum Problem 11.22 (own)
4.4 Arbitrary rigid body in rotation around fixed axis
4.5 Calculation of moments of inertia Problem 11.21 (own)
4.6 Equation of motion for rotation about fixed axis Rotational energy consideration
4.7 Example: Atwood machine Problem 11.23 (own) Problem 11.7
4.8 Example: when L and w are not aligned
4.9 Example: precession in the gyroscope Demo Demo
4.10 The Inertia tensor
4.11 Euler’s equations Derivation Maple-demo
Tumbling textbook Conservation laws Mathematical Detail
4.12 Principal axes determination example General case
4.13 Gyroscope Simple cases Maple-demo Problem 13.1; Problem 13.1(cont)
Nutation in the Gyroscope Energy Consideration
