Lecture Notes for PHYS2010 Mechanics

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Paul Curmi will be away (Monday 28th to Wednesday 30th May, inclusive). 
During his absence, Dr Julian Berengut will be presenting the last two Mechanics lectures.

Proposed Lecture Schedule for 2012 Revised May 9th 2012

Assignments 2012

Assignment 1 Due: Monday 30th April 2012
Assignment 2 Due: Wednesday 30th May 2012

Lecture Notes 2011 and 2012 - 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 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

Additional Material

Table of Radii of Gyration

Assignments 2011 - Lecturer Paul Curmi

Assignment 1 Due: Wednesday 11th May 2011
Assignment 2 Due: Thursday 2 June before 5pm, Hand it to: Sue Hagon or Patricia Furst, Physics School Office Rm G62 OMB

Tutorial Problems 2011 - 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

Past Midsession Tests

1997

1998

2005

2006

2008

2009

2011 (S1)

2012 (S1)

Lecture Notes 2010 - Lecturer Oleg Sushkov

1. Integration of one-dimensional motion
2. Simple Harmonic Motion, Driven Harmonic Motion, Damped Harmonic Motion.
3. Motion in central field
4. Kepler's problem
5. Precession of Mercury orbit due to general relativity, least action principle, Lagrangian, Lagrange Eqs.
6. Lagrangian, Lagrange Eqs.
7. Coupled harmonic oscillators, Secular equation, Normal coordinates, Initial conditions.
8. Rotation of a solid body. Moment of inertia

Lecture Notes 2007 - Lecturer Oleg Sushkov

1. Motion in Central Field and tutorial problems for this topic.
2. Part II Kepler's problem.
3. Part III Precession of Mercury orbit due to general relativity, least action principle, Lagrangian, Lagrange Eqs.
4. Part IV Lagrangian, Lagrange Eqs.
5. Part V Coupled Harmonic Oscillators, Secular equation, Normal co-ordinates, Initial conditions.
6. Rotation of a solid body, Movement of Inertia
7. Angular momentum, Examples, Symmetric top

Older Lecture Notes

Formula Sheet 2011 - Lecturer Paul Curmi

Past Examinations

2005 Exam Paper
2006 Exam Paper
2007 Exam Paper

June/July 2002

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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