## Lecture Notes for PHYS2010 Mechanics

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

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

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
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

Past Exams
 2005 2006 2007 2011 2012 2013

Past Midsession Tests

 1997 1998 2003 2005 2006 2008 2009 2011 (S1) 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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Past tutorials

2010

Tutorial 1 (including solutions)
Tutorial 2
Tutorial 2 Solutions
Tutorial 3
Tutorial 3 Solutions
Tutorial 4
Tutorial 4 Solutions
Tutorial 5
Tutorial 5 Solutions
Tutorial 6
Tutorial 6 Solutions

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### Further Information

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