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Module MA23401: Advanced Classical Mechanics I

Credit weighting (ECTS)
5 credits
Semester/term taught
Michaelmas term 2021.22
Contact Hours
11 weeks, 3 lectures including tutorials per week
 
Lecturer
Prof Ruth Britto
 

Learning Outcomes
On successful completion of this course, students will be able to:

  • demonstrate knowledge of the Lagrangian mechanics including a familiarity with Lagrangians describing various important mechanic systems
  • derive the equations of motion of a mechanical system with several degrees of freedom from its Lagrangian by using Hamilton’s principle
  • use Noether’s theorem to derive conservation laws
  • analyse qualitatively and quantitatively the motion of one-dimensional systems and in a central field
  • analyse small free oscillations, forced oscillations and damped oscillations of a system with any number of degrees of freedom, compute its characteristic frequencies and normal coordinates
  • use Euler angles and Euler equations to analyze the motion of a rigid body

Module Content

  • Lagrangian, Hamilton’s principle, Lagrange's equations, Constrained dynamics
  • Conservation laws and Noether’s theorem
  • Motion in one dimension and central potential
  • Oscillations: equilibrium and motion near equilibrium
  • Rigid body motion, Euler equations

Module Prerequisites
MAU11400 - Mechanics

Required Reading

  • Herbert Goldstein, Classical Mechanics, third edition, Addison Wesley
  • L.D. Landau and E.M. Lifshitz, Mechanics, Butterworth-Heinemann 

Assessment Detail
This module will be examined jointly in a 2-hour examination in Michaelmas term. Continuous assessment will contribute 20% to the final grade for the module at the annual examination session. Re-assessments if required will consist of 100% exam.