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 two-body 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

 

June/July 2002: Questions Answers

Past Midsession Tests

2012 (S1)
2013 (S1)
2014 (S1)



Lecture Notes 2010 - Lecturer Oleg Sushkov

Lecture Notes 2007 - Lecturer Oleg Sushkov

Older Lecture Notes

Introduction (906kb)

    • Vectors and co-ordinate systems.
    • Kinematics.
    • Mechanics: Newton's Laws, Equations of Motion.

Topic 2 (744kb)

    • Oscillations

Topic 3

Topic 4

Topic 5

Topic 6

Formula Sheet 2011 - Lecturer Paul Curmi

Past Assignments

2010

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