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MAU11400 Mechanics

Module Code MAU11400
Module Title Mechanics
Semester taught Semesters 1,2 (yearlong)
ECTS Credits 10
Module Lecturers
 
Prof. Jan Manschot
Prof. Manya Sahni
Module Prerequisites N/A

Assessment Details

  • This module is examined in a 3-hour examination at the end of Semester 2.
  • Continuous assessment contributes 20% towards the final grade for this module.
  • The module is passed if the overall mark for the module is 40% or more. If the overall mark for the module is less than 40% and there is no possibility of compensation, the module will be reassessed as follows: 
    1) A failed exam in combination with passed continuous assessment will be reassessed by an exam in the supplemental session; 
    2) The combination of a failed exam and failed continuous assessment is reassessed by the supplemental exam; 
    3) A failed continuous assessment in combination with a passed exam will be reassessed by one or more summer assignments in advance of the supplemental session.

Contact Hours

11+11 weeks of teaching with 3 lectures and 1 tutorial per week.

Module Content

  • Mathematical preliminaries: vectors and their role in mechanics, elements of vector algebra.
  • Kinematics.
  • Newton's laws: the foundations of classical mechanics.
  • Linear momentum, dynamics of multi-particle systems, centre of mass, conservation of momentum, impulse.
  • Work and energy: definition of work and the work-energy theorem, potential and kinetic energy.
  • Potential and kinetic energy: conservative and non-conservative forces, conservation of energy.
  • Angular momentum: torque, conservation of angular momentum.
  • Moment of inertia, motion involving translation and rotation.
  • Elastic and inelastic collisions.
  • Rigid body motion, precession, tensor of inertia.
  • Non-inertial systems and fictitious forces, centrifugal and coriolis forces.
  • Central forces: two-body problem, general properties of central force motion.
  • Harmonic oscillator: driven and damped oscillations.

Recommended Reading

  • An introduction to mechanics by Kleppner and Kolenkow.