David MacKay: Dynamics: 2000 Lecture notes

Part IB Advanced Physics Course

Course Synopsis

Lecture notes

Exercises

· More Physics Fun

Further information

· History of Dynamics

· Precession of the earth

· Planetary dynamics

· Harrison's clocks

· Gravitational Slingshot

· Lagrange Points

· Rigid bodies

Administrative stuff

· Typos in the textbook

· Finding the textbook

For supervisors

2000 Lecture notes «

· 1999 Lecture notes

· Teaching Survey

· Part III revision

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1B Dynamics

Lecture notes for 2000

A small number of handouts are distributed in lectures. Those, and my scanned lecture notes, are below.

lecture notes handouts and other useful stuff

Lecture 1: The Energy Method.

Lecture 2: Dimensional Analysis Further reading about dimensional analysis (html) / (postscript) |

Lecture 3-4: Extensions of the energy method Planetary dynamics observations

Lecture 4: Perturbation Expansions .

Lecture 5: State space diagrams, Lagrangian Dynamics. State space diagram of pendulum

Handout 2: Almost Inverse-square force-law orbits (postscript) | pdf | old Handwritten version |

Handout 3: Wonky pendulum solution (postscript) | pdf |

Lecture 6: Lagrangian Dynamics, continued; the Hamiltonian. Kater's pendulum

Lecture 7: Hamiltonian Dynamics. Bead dynamics from the Hamiltonian

Handout 4: Drag force by dimensional analysis (postscript) | pdf |

Handout 5: Hamiltonian dynamics summary and example (postscript) | pdf |

Lecture 8: Normal Modes I . Molecule modes: Quicktime Movie by Luca Turin (more info)

Lecture 9: Normal Modes II . Liouville's theorem for vertically bouncing balls Kater's pendulum, further information

Lecture 10: Normal Modes III . Handout 6: Normal modes (postscript, 8 pages) | pdf |

Lecture 11: Normal Modes IV . Beats

Lecture 12: Normal Modes V . Marimba

Lecture 13: Elasticity . | H7: Strain and stress - postscript | | pdf |

Lecture 14: Kepler and orbits . History of planetary observations | Orbits in inverse-square potential | H8: Kepler's Ellipses, and gravitational slingshots (postscript) | pdf |

Lecture 15: Fictitious forces in rotating frames . H9: Rotating frames (postscript) | pdf |

Lecture 16: Rigid bodies . Optional reading - Inverted pendulum |

David J.C. MacKay

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