Topics in Classical Mechanics
Description

The contents of this elective course may vary slightly from year to year, depending on the teacher. We here give the contents of the course as it was taught recently.

Part 1. Mechanics of point particles: (i) Ballistic flight without air resistance. (ii) The concept of the envelope curve. (iii) The dimensionless Reynolds number an its physical significance. (iv) Ballistic flight with resistance proportional to the speed (linear drag). (v) Ballistic flight with resistance that goes as the square of the speed (quadratic drag).
Part 2. Mechanics of rigid bodies: (i) Definition of the center of mass and its significance in the dynamics of extended rigid bodies. (ii) Angular momentum of a rigid body. (iii) Total angular momentum of an ensemble of rigid bodies. (iv) Rotation about a fixed axis. (v) Rotation about any axis, moments of inertia. (vi) Principal axes of a rigid body.
Part 3. Mechanics of continuous media: (i) Mathematical modeling of the vibrations of a stretched string. (ii) The wave equation and its analytical solution. (iii) Dispersion relation, comparison with other linear wave equations. (iv) Standing and traveling waves. (v) Boundary conditions, waves on finite strings. (vi) The continuity equation for continuous media, and in particular for fluids.

Division: Applied Analysis
Program of Studies:
Undergraduate Studies
Semester: F
ECTS: 6
Hours per week (Lec/Tut/L): 2/2/0
Code: AM465
Course type: Elective
Erasmus students: Yes




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