Lecture Notes for
PHYS2010 Mechanics
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Proposed Lecture Schedule for 2014  Updated 7th March 2014
Actual Lectures  2014
Lecture 1  Overview
Lecture 2  Integration of Equations of Motion
Lecture 3  Introduction to Lagrangian mechanics
Lecture 4  Velocity phase space & introduction to SHO
Lecture 5  Damped Harmonic Oscillator
Lecture 6  Tutorial 1
Lecture 7  Driven DHO
Lecture 8  Resonance & Conservative Forces
Lecture 9  Central Forces
Lecture 10  Inverse Square Force  the Orbit Equation
Lecture 11  Orbit stability & Conserved Quantities
Lecture 12  The Two & Three Body Problems
Lecture 13  Tutorial 2
Lecture 15  Rigid body motion
Lecture 16  Moments of Inertia & Inertia tensor
Lecture 17  Inertia Tensor, Principal axes & Euler's Equations
Lecture 18  Tutorial 3
Lecture 19  Lagrangian Mechanics
Lecture 20  Noether's Theorem & Hamiltonian Mechanics
Lecture 21  Coupled oscillators
Lecture 22  Normal mode analysis
Lecture 23  Beads on a string + Lagrangian examples
Lecture 24  exam stuff + Tutorial
Assignments 2014
Assignment 1
Assignment 2 Due: Friday 30th May 2014
Lecture
Notes 2011  Present  Lecturer Paul Curmi
Lecture 1  Overview
Lecture 2  Integration of Equations of Motion
Lecture 3  Introduction to Lagrangian Mechanics
Lecture 4  Velocity Phase Space & Simple Harmonic Oscillator
Lecture 5  Simple Harmonic Oscillator + Damped HO
Lecture 7  Damped Harmonic Oscillator and Forced DHO
Lecture 8  Resonance, Conservative Forces and 2D Isotropic HO
Lecture 9  Central Forces
Lecture 10  Inverse Square Fields
Lecture 11  Stability of near circular orbits, conserved quantities and twobody problem
Lecture 12  The Two and Three Body Problem
Lecture 14  Rigid body motion
Lecture 15  Moments of Inertia & Inertia Tensor
Lecture 16  Inertia Tensor, Principle axes & Euler's Equations
Lecture 17  Lagrangian Mechanics
Lecture 19  Noether's theorem, symmetry, conservation & the Hamiltonian
Lecture 20  Oscillating Systems and Coupled Oscillators
Lecture 21  Normal Mode Analysis
Lecture 23  Vibrations on a loaded string
Tutorial Problems 2014  lecturer Paul Curmi
Tutorial Sheet 1  Integration of Equations of Motion
Tutorial Sheet 2  Harmonic Oscillators
Tutorial Sheet 3  Central Forces
Tutorial Sheet 4  Rigid Body Motion, Inertia Tensor
Tutorial Sheet 5  Lagrangian Mechanics
Tutorial Sheet 6  Noether's Theorem
Tutorial Sheet 7  Coupled Oscillators New 2014
Additional Material
Application of Euler's Equations  why rotation about the intermediate principal axis is unstable New 2014
Solution to Tutorial 7, Problem 5  Three beads on a hoop coupled by springs New 2014
Solution to Tutorial 1, Problem 5(b) NEW 2014
Solution to Tutorial 2, Problem 6
Table of Radii of Gyration
Tacoma Narrows Bridge disaster: not a case of resonance driven by oscillating force, but "negative damping" resulting from the addition of a constant, velocity dependent force (ultimately due to the wind) Billah 1991 Green 2006
Solution to Tutorial 3, Problem 3  The exponential spiral
Solution to Tutorial 3, Problem 7  Inverse Cube Forces
Assignments 2013
Assignment 1
Assignment 2
Past Exams
Past Midsession Tests
Lecture
Notes 2010  Lecturer Oleg Sushkov








Lecture
Notes 2007  Lecturer Oleg Sushkov







Older Lecture Notes
Introduction (906kb)
 Vectors and coordinate
systems.
 Kinematics.
 Mechanics: Newton's Laws,
Equations of Motion.
Topic
2 (744kb)
Topic 3
Topic 4
Topic 5
Topic 6
Formula Sheet 2011  Lecturer Paul Curmi
.