| Area of Mathematics: | Physics (EPh) |
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| Semester: | 5o | ||
| Course ID: | 52503 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 3 | Practice: 1 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | For the course’s material click here. | ||
| Instructors: | Vaia Prassa | ||
Description
- Fundamental concepts: Point particles and System of point particles mechanics, D’Alembert principle, Lagrange function.
- Hamilton principle, Euler-Lagrange equations, Energy function and Energy conservation.
- Central forces and central potentials, forces of inverse square, two bodies problem (Kepler problem), Bertrand theorem, scattering, Three bodies problem.
- Kinematics of a Rigid body: Orthogonal transformations, Euler angles, Cayley-Klein parameters,
- Euler theorem, Finite and Infinitesimal rotations, Coriolis force.
- Dynamics of Rigid body: Angular momentum and kinetic energy, Tensor and moment of inertia,Euler equations of motion, symmetric solid spinning top, transient motion.
- Small oscillations.
- Hamilton equations of motion and Legendre transformations, cyclic coordinates, principle of least action.
Bibliography
- Classical Mechanics 3RD Edition, by Herbert Goldstein, Charles P. Poole & John Safko
- Classical Mechanics (5th Edition) Kindle Edition, by Tom Kibble, Frank H Berkshire
