Programme/Approved Electives for 2020/21
Available as a Free Standing Elective
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.
Intended Learning Outcomes
solve problems in kinematics by calculating velocity and acceleration;: solve problems involving central forces and model planetary motion, the motion of satellites and orbital transfer: 1,2,3apply Newton's Laws of Motion in a number of different contexts;: interpret a system's dynamics from the energy equation: 1,3model and solve problems involving vertical motion under gravity and projectiles, with or without air resistance;: consider the effect of variable mass via the "rocket equation: 1,2,3solve problems involving oscillations of springs with or without frictional damping and/or forcing, and be able to recognise the phenomenon of resonance:
Lectures: 35 hoursFormative Class Test: 1 hourExamples Classes: 12 hoursIndependent study: 100 hoursUnseen examination: 2 hours
1: Exercise weighted 15%
Description of Module Assessment
Approximately 3 assignments set at regular intervalsContinuous assessment consists of approximately three written problem sheets. The solutions to each problem sheet should consist of approximately four to six handwritten pages.2: Class Test weighted 15%
Mid-semester class testA class test lasting approximately 40 mins and covering material from approximately the first half of the module.3: Unseen Exam weighted 70%
2-hour end of semester examinationThe examination paper will consist of no less than five and not more than eight questions, all of which are compulsory.