School of Computer Science and Mathematics

Faculty of Natural Sciences

For academic year: 2024/25 Last Updated: 14 June 2024

MAT-20005 - Dynamics

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The module is an introduction to dynamics with applications mainly to systems which can be modelled by particle dynamics. The topics investigated include: Newton's laws, momentum, kinetic and potential energy, projectiles, simple harmonic motion, springs, the pendulum, rocket motion, planetary and satellite orbits, linear theory of oscillations, and normal modes.

The aim of this module is to demonstrate the successful application of mathematics in the modelling of physical systems, within the context of Newtonian dynamics.

solve problems involving central forces and model planetary motion, the motion of satellites and orbital transfer: 3

interpret a system's dynamics from the energy equation: 1,3

consider the effect of variable mass via the "rocket equation": 2,3

interpret a system's dynamics from the energy equation: 1,3

consider the effect of variable mass via the "rocket equation": 2,3

Lectures: 36 hours

Examples Classes: 12 hours

Independent study: 102

Examples Classes: 12 hours

Independent study: 102

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Take home assignment

This assignment will be covering kinematics, application of Newton's Laws and some problems on projectiles.

Class test

The class test is concerned with springs and variable mass problems.

Final Exam

The examination paper will consist of no less than five and not more than eight questions, all of which are compulsory.