This module builds on the module Mechanics I (MA1300) by extending the study to general particle motion in 2 and 3 dimensions using vector methods. This is followed by studying systems of 2 and more particles leading to rigid bodies. Conservation principles are discussed and used. Finally, a brief introduction to Lagrangian mechanics is given.

Prerequisite Modules: MA1300 Mechanics I

• Apply the principles of motion in more than one dimension.
• Analyse the Newtonian equations of motion for particle systems, the fundamental constants of the motion and their differential equations.

27 - 50 minute lectures

Some handouts will be provided in hard copy or via Learning Central, but students will be expected to take notes of lectures.

Students are also expected to undertake at least 50 hours private study including preparation of solutions to given exercises.

Skills:
Appreciate the principles of mechanics in 2 and 3 dimensions.
Use methods of vector calculus and analysis to solve appropriate problems.

Transferable Skills:
Achieve precision and clarity of exposition.
Recognise, formulate and solve problems in an interdisciplinary environment.

Formative assessment is carried out by means of regular tutorial exercises.  Feedback to students on their solutions and their progress towards learning outcomes is provided during lectures.  

The summative assessment is the written examination at the end of the module.  This gives students the opportunity to demonstrate their overall achievement of learning outcomes.  It also allows them to give evidence of the higher levels of knowledge and understanding required for above average marks.

The examination paper has two sections of equal weight.  Section A contains a number of compulsory questions of variable length but normally short.  Section B has a choice of two from three equally weighted questions.

• Review of kinematics
  • Concentrating on 2 and 3 dimensions
• Motion of a single particle in a rotating frame of reference
  • Fictitious forces
• Conservation principles
  • Variable mass problems including rocket motion.
• Many particle systems
  • A review of orbits under a central force
  • The 2-body problem and the n-body problem.
• Rigid body mechanics
  • Motion of rigid bodies in 3 dimensions.
• Lagrangian mechanics – an introduction.

Not applicable.

Classical Mechanics, Gregory, R. D. Cambridge University Press, 2006

Guide to Mechanics, Dyke, P., & Whitworth, R., Palgrave, 2001