Module Identifier 
PH21010 
Module Title 
RELATIVITY & MECHANICS 
Academic Year 
2004/2005 
Coordinator 
Dr Eleri Pryse 
Semester 
Semester 1 
Other staff 
Professor Keith Birkinshaw 
PreRequisite 
Core Physics Modules at Level 1 
Course delivery 
Lecture  20 lectures 

Seminars / Tutorials  2 seminars/workshops/exercise classes; 2 tutorials 
Assessment 
Assessment Type  Assessment Length/Details  Proportion 
Semester Exam  2 Hours End of Semester Examinations  70% 
Semester Assessment  Course Work: Example Sheets Example Sheets 1,2,3,5,6, and 7
Deadlines are detailed in the Year 2 Example Sheet Schedule distributed by the Department
 30% 

Learning outcomes
After taking this module students should be able to:

understand the basic principles of the special and general theories of relativity and be able to answer relevant problems thereon.

understand and answer problems on damped and forced oscillatory systems, simple coupled systems and rotating bodies.

apply Lagrange''''s equations to simple physical systems.
Brief description
Classical mechanics is a very old subject with many of its principles being established by Sir Isaac Newton in the seventeenth century, yet it forms a strong foundation to modern physics. It aims to predict the behaviour of systems on the basis of certain postulates that are tested by experimental evidence. Classical mechancis has proved very successful for bodies moving at low speeds but is unable to describe phenomena involving speeds approaching that of light and in this respect it has been superseded by relativity. The module aims to describe some of the fundamental concepts of classical mechanics, and basic principles of relativity.
Content
RELATIVITY
Special theory
Lorentz transformation; relativistic interval; Minkowski diagram; causality.
Transformation of velocities.
Relativistic optics: aberration of light; Doppler effect.
Relativistic dynamics: E=mc2; energymomentum transformations and fourvector.
Compton scattering.
General theory
Inertial and gravitational mass; Principle of Equivalence.
Gravitational redshift; Clocks in a gravitational field.
Einstein's theory of gravity; geodesics; nonEuclidean spacetime.
The Schwarzschild solution; black holes.
MECHANICS
Harmonic motion: revision of simple harmonic motion, damped and forced harmonic motion.
Coupled osciallators.
Rotational motion: angular momentum and torque, moment of inertia; conservation of angular momentum, gyroscopic motion.
Introduction to Lagrangian mechanics.
Reading Lists
Books
** Recommended Text
G.R. Fowles and G.L. Cassidy Analytical Mechanics
Saunders College Publishing ISBN 0030989744
** Supplementary Text
A.P. French Special Relativity
Van Nostrand Reinhold
G.F.R. Ellis and R.M. Williams Flat and Curved SpaceTimes
Clarendon Press
Notes
This module is at CQFW Level 5