MAT-20005 - Dynamics
Coordinator: Daniel Lucas Room: MAC2.30 Tel: +44 1782 7 33081
Lecture Time: See Timetable...
Level: Level 5
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2020/21

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

None

Barred Combinations

None

Description for 2020/21

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.

Aims
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: 1,2,3
apply Newton's Laws of Motion in a number of different contexts;: interpret a system's dynamics from the energy equation: 1,3
model 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: 1,2,3
solve problems involving oscillations of springs with or without frictional damping and/or forcing, and be able to recognise the phenomenon of resonance:

Study hours

Lectures: 35 hours
Formative Class Test: 1 hour
Examples Classes: 12 hours
Independent study: 100 hours
Unseen examination: 2 hours


School Rules

None

Description of Module Assessment

1: Exercise weighted 15%
Approximately 3 assignments set at regular intervals
Continuous 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 test
A 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 examination
The examination paper will consist of no less than five and not more than eight questions, all of which are compulsory.