Module Details

The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title CLASSICAL MECHANICS
Code MATH228
Coordinator Prof JA Gracey
Mathematical Sciences
Gracey@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2016-17 Level 5 FHEQ Second Semester 15

Aims

To provide a basic understanding of the principles of Classical Mechanics and their application to simple dynamical systems.


Learning Outcomes

the motions of bodies under simple force systems, including calculations of the orbits of satellites, comets and planetary motions

 motion relative to a rotating frame, Coriolis and centripetal forces, motion under gravitry over the Earth''s surface 

rigid body dynamics using centre of mass, angular momentum and moments of inertia


Syllabus

Foundations of classical mechanics: Newton''s laws of motion, inertial and non-inertial reference frames, energy principles.

Applications to simple dynamical systems under various force systems

Newton''s law of gravitation and its application to motions of planetary bodies and the orbits of satellites.

Motion relative to a rotating frame, coriolis and centripetal forces, motion under gravity over the earth''s surface,.

Rigid body dynamics: centre of mass, angular velocity and momentum principles. Plane motions of laminae, simple 3-dimensional rigid body motions with reference to practical examples such as the orbiting space station, and the axis of rotation of the earth.


Recommended Texts

Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.
Explanation of Reading List:

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):

MATH101; MATH122; MATH102; MATH103  

Co-requisite modules:

 

Modules for which this module is a pre-requisite:

MATH326 

Programme(s) (including Year of Study) to which this module is available on a required basis:

Programme:F344 Year:2 Programme:FGH1 Year:2 Programme:FG31 Year:2

Programme(s) (including Year of Study) to which this module is available on an optional basis:

Programme:G100 Year:2 Programme:G110 Year:2 Programme:G101 Year:2 Programme:G1N2 Year:2 Programme:G1R9 Year:2 Programme:G1X3 Year:2 Programme:GG13 Year:2 Programme:GL11 Year:2 Programme:GN11 Year:2 Programme:GR11 Year:2 Programme:GG14 Year:2 Programme:GV15 Year:2 Programme:G1F7 Year:2 Programme:BCG0 Year:2 Programme:Y001 Year:2 Programme:L000 Year:2

Assessment

EXAM Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Unseen Written Exam  2.5 hours  Second semester  90  Yes  Standard UoL penalty applies  Assessment 2 Notes (applying to all assessments) Coursework - 10 weekly homeworks. This work is not marked anonymously. Examination - All answers to Section A and the best 3 questions from Section B will be taken into account. Section A carries 55% of available marks. Marks shown against sections indicate their relative weights. 
CONTINUOUS Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Coursework    Second semester  10  No reassessment opportunity  Standard UoL penalty applies  Assessment 1 There is no reassessment opportunity,