| CODE | MAT3613 | ||||||||
| TITLE | Classical Mechanics | ||||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 6 | ||||||||
| ECTS CREDITS | 5 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | - Rotating frames: - Angular velocity, - The rotating axes theorem, - Velocity and acceleration in a rotating frame, - The rotation of the earth; - Systems of many particles: - The two body problem, - Rigid bodies; - Rigid bodies: - Angular velocity and angular momentum, - The equation of motion, - The inertia tensor, - Principal axes and principal moments of inertia, - General rotation of a rigid body fixed at a point, - Applications; - Lagrangian mechanics: - Generalised coordinates, - Virtual displacements, - Generalised forces, - Lagrange’s equations, - Ignorable coordinates; - Application of Lagrangian mechanics: - Rigid bodies, the Euler angles, - Precession of tops and rolling bodies, - Small oscillations, - Impulsive motion. Main Text - Lunn M., A first Course in Mechanics, Oxford University Press, Oxford, 1991. Supplementary Reading - Chorlton F., Textbook of Dynamics, van Nostrand Company Ltd., London, 1969. - Camilleri C.J., Classical Mechanics, Malta, 2004. - Marion J.B. and Thornton S.T., Classical Dynamics of Particles and Systems, 4th Edition, Harcourt College Publishers, New York, 1995. - Goldstein H., Classical Mechanics, 2nd Edition, Addison-Wesley, New York, 1980. |
||||||||
| ADDITIONAL NOTES | Follows from: MAT3612 Leads to: MAT5615 |
||||||||
| STUDY-UNIT TYPE | Lecture and Tutorial | ||||||||
| METHOD OF ASSESSMENT |
|
||||||||
| LECTURER/S | |||||||||
|
The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years. |
|||||||||