Classical or Newtonian mechanics is the foundation of applied mathematics and is an astonishingly powerful tool for explaining physical systems, from projectiles to planetary motion to the design of racing cars. It acts as a natural starting point for any serious discussion of mathematical modelling in broader areas. This module uses ideas such as forces, moments, Newton's Laws of Motion and energy to model practical situations. These models can then be analysed using a wide range of techniques from pure mathematics such as trigonometry, algebra, calculus and, in particular, vector methods. Real world problems are used to illustrate the theory and some surprising and counter-intuitive examples are discussed.

Learning Outcomes

By the end of the module students should be able to:

State Newton's Laws of Motion and other physical laws concerning, for example, friction, impacts and elasticity.

Use Newton's Laws of Motion to derive various consequences such as constant acceleration equations, the existence of the centre of mass and conservation of liner momentum.

Set up and solve equations for problems in classical mechanics by resolving forces, use of moments, energy, momentum and impact.

Solve multi-step modelling problems under classical assumptions, including problems related to equilibria, motion under constant acceleration, projectiles, relative velocity, circular motion, and simple variable acceleration (including simple harmonic motion).

Assessment

25661-01 : Raw Module Mark : Coursework (100%)

Assessment Methods & Exceptions

2 hour Written Unseen Summer Examination (80%); In-course Assessment (20%). Assessed as a single 20-credit module rather than a combined paper.