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11th Traditional Mechanics (2)

Course Description: Calculus of Variations, Euler-Lagrange equation and its applications, Lagrange equations for unconstrained systems, constrained systems, generalized momentum and cyclic coordinates, Lagrange multipliers and constraint forces, rotational motion of a rigid body, inertia tensor, principal axes of inertia, unsteady motion under weak torques, Euler's equations, Euler angles, coupled oscillators and normal modes, double pendulum, coupled triple pendulum, Hamiltonian mechanics in one and multiple dimensions, phase space trajectories, Liouville's theorem.
Credit hours: 3
Prerequisites: PHYS 211
Objectives of the course :

Completing theories of dynamics with advanced mathematical treatments such as the Euler-Lagrange and Hamiltonian equations, which help in understanding physical phenomena and their applications.

Course outputs :

At the end of the course, the student should be able to do the following:
1- Solve basic problems in classical mechanics using generalized coordinates.
Derivation of Newton's Second Law by applying Hamilton's Principle of Least Action.
3- Understanding and comprehending the meaning of constraints and their types, generalized coordinates, forces, energy, and momentum.

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  • Last updated: 2026-04-20

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