AMAT 21272 : Mechanics II

Course Code : AMAT 21272

Title               :  Mechanics II

Pre-requisites   : AMAT 11232

 Learning Outcomes : 

Upon successful completion of this course, the student should be able to

1. describe and derive the moment of inertia of rigid bodies
2. collect and organize the knowledge for solving problems in motion of lamina
3. describe, derive and apply Euler’s equation of motion
4. collect and organize a sound knowledge of Lagrangian approach to mechanics
5. determine the Lagrangian functions for a physical systems
6. describe and derive the Lagrange equation of motion for impulsive motion.

Course Content :

Rigid Body Motion: 

• Rigid bodies, Moments and products of inertia, Principal axes, Equimomental systems, Motion of a lamina, Instantaneous centre, Body and space centrodes, Uniplanar motion of a rigid body, Impulsive motion, Euler’s equations of Motion.

Lagrangian Mechanics: 

• Generalized coordinates, Lagrange’s equations of motion for elementary systems, Constraint forces, Lagrange’s equation of motion for holonomic systems, Determination of holonomic constraint forces, generalized force functions, Lagrange equations, Constants of motion in the Lagrangian formalism, Lagrange equation of motion for impulsive motion.

Method of Teaching and Learning : A combination of lectures and tutorial discussions. 

Assessment : Based on tutorials, tests and end of course examination.

Recommended Reading:

1. Chorlton, F. (2nd Ed., 2019). Textbook of Dynamics, D. Van Nostrand.
2. Desloge, E.A. (1982). Classical Mechanics, John Wiley, New York.
3. Gignoux C & Silvestre-Brac, B. (2014). Solved Problems in Lagrangian and Hamiltonian Mechanics,
Springer Netherlands.
4. Goldstein, H. (2011). Classical Mechanics, Addison Wesley.
5. Kelley, J.D. & Leventhal, J.J. (2016). Problems in Classical and Quantum Mechanics: Extracting the
Underlying Concepts. Springer.
6. Ramsey, A.S. (1975). Dynamics, Parts I & II, Cambridge University Press