|
Week |
Scientific topic |
|
1-2 |
Gravitation: gravitational potential; Lines of force of a gravitational field; Relation between the gravitational field and gravitational potential, gravitational field and gravitational potential due to mass distribution; Equipotential surfaces and lines of force due to gravitational field; calculating the gravitational force. |
|
3-5 |
Motion under a central force : reduced mass, kinetic energy in Cartesian, Spherical, and Cylindrical coordinates, conservative and non-conservative forces, potential energy of conservative force, Equation of motion of a particle moving under a central force inversely proportional to the square of the distance, Effective potential energy, planetary motion and Kepler's equation. |
|
5 |
First exam |
|
6-8 |
Moving coordinate system: rotating coordinate; displacement, velocity and acceleration in rotating coordinate system; Centrifugal force; Coriolis’ force; Laws of motion on the rotating earth; Focault’s pendulum. |
|
9-10 |
Hamilton’s and Lagrange’s Equation: Hammilton’s principle, generalized coordinates, Lagrange’s equation in generalized coordinates, Equivalence of Lagrange’s and Newton’s equations, Hammilton’s equations of motion, Motions operators and Poisson brackets. |
|
|
Second exam |
|
11-14 |
Theory of small vibrations: Expansion of the potential-energy function in a power series; Two coupled harmonic oscillators; General theory of vibrating systems; Forced vibrations “damping”; Vibration of a loaded string; vibration of a continuous system “ The wave equation”. |
|
15 |
Final Exam |
References
|
Place |
Publisher |
Version |
Author |
Title |
|
lecturer |
|
|
lecturer |
Rapporteur notes |
|
University library |
Addison-Wesley publishing company |
3rd Edition |
Symon |
Classical mechanics |