|Delivery Type||Delivery length / details|
|Lecture||20 x 1-hour sessions of lectures and example classes|
|Assessment Type||Assessment length / details||Proportion|
|Semester Exam||2 Hours : Written examination||70%|
|Semester Assessment||Course work: 2 assignment sheets||30%|
|Supplementary Exam||2 Hours : Written examination||100%|
On completion of this module, students should be able to:
1. Describe the basic principles of Dynamics and Special Relativity;
2. Model problems in dynamics and special relativity with mathematical equations, apply basic solution techniques to these equations and interpret the results in the physical context;
3. Solve numerical problems in dynamics and special relativity.
This module provides an introduction to the classical theory of dynamics and the theory of special relativity. The problems addressed in dynamics will involve classical kinematics, Newton's Laws, energy and momentum and motion in a gravitational field. The implications of the principles of special relativity for the concepts of space and time will also be studied.
The module develops the principles and techniques of dynamics and relativity. Emphasis will be placed on the solution of problems, and examples sheets will include numerical exercises. This module is appropriate as a core module for honours degree schemes in Mathematics and Physics. It also prepares students for the more advanced approach to these topics developed in MP21010.
Scalar and vector quantities, position vector, vector components, unit vectors, scalar and vector products.
Kinematics: constant acceleration, projectile motion.
Newton's Laws of Motion: momentum, weight, contact forces on solids, friction, circular motion and centripetal force, drag force.
Work and Energy: work done by force, kinetic energy, power, conservative force, potential energy, conservation of mechanical energy.
Conservation of Momentum: centre-of-mass, collisions, coefficient of restitution, rocket propulsion.
Gravity: Kepler's Laws, Newton's Law of Gravity, gravitational potential energy.
Introduction and discussion of the shortcomings of pre-relativistic physics, which lead to the simple postulates of Special Relativity, with far-reaching results in our understanding of space and time. The Lorentz-Einstein transformations are derived from the postulates, leading to an understanding of time-dilation and Lorentz contraction.
|Skills Type||Skills details|
|Problem solving||Problem solving skills are developed throughout this module and tested in assignments and in the written examination.|
Reading ListGeneral Text
Tipler, Paul Allen (2004.) Physics for scientists and engineers /[Paul A. Tipler, Gene Mosca] 5th edition. W.H. Freeman Primo search Recommended Text
French, A. P. (1968 [unspecifi) Special relativity /A.P. French. CRC Press Primo search
This module is at CQFW Level 4