Code
Φ-204
Level
Undergraduate
Category
A
Teacher
K. Tassis
ECTS
7
Hours
6
Semester
Spring
Display
Yes
Offered
Yes
Teacher Webpage
Goal of the course
The course is intended for second year students who have already studied mechanics as part of an introductory physics course and have acquaintance with differential and integral calculus, as well as differential equations. The course topics include the study of motion of a single particle, systems of particles, rigid bodies as well as the Lagrangian formulation of classical mechanics.
Program
Wednesday 11:00-13:00, Room 3 (Exercises)
Thursday 13:00-15:00, Room 3
Friday 9:00-11:00, Room 3
Thursday 13:00-15:00, Room 3
Friday 9:00-11:00, Room 3
Syllabus
1. Newton's laws of motion; inertial frames of reference; relativity principle; 1D kinematics; work, potential energy, conservative forces (1 week).
2. Oscillations: simple harmonic motion, damped oscillations, resonance, driven damped oscillations (1 week).
3. 3D kinematics. Torque, angular momentum, central forces, conservation of angular momentum, orbits (2 weeks)
4. The two-body problem. Center of mass, relative co-ordinates, the centre-of-mass frame, elastic collisions, many-body systems (2 weeks)
5. Rotating frames of reference. Non-inertial frames, acceleration, apparent gravity, Coriolis force, Foucault pendulum. (2 weeks)
6. Rigid bodies. Rotation about an axis, principles axes of inertia, calculation of moments of inertia, Euler angles, Euler equations (2 week).
7. Lagrangian mechanics. Calculus of variations, Lagrange equations, applications(2 weeks).
8. Hamiltonian mechanics. Hamilton's equations, Hamilton principle (1 week)
2. Oscillations: simple harmonic motion, damped oscillations, resonance, driven damped oscillations (1 week).
3. 3D kinematics. Torque, angular momentum, central forces, conservation of angular momentum, orbits (2 weeks)
4. The two-body problem. Center of mass, relative co-ordinates, the centre-of-mass frame, elastic collisions, many-body systems (2 weeks)
5. Rotating frames of reference. Non-inertial frames, acceleration, apparent gravity, Coriolis force, Foucault pendulum. (2 weeks)
6. Rigid bodies. Rotation about an axis, principles axes of inertia, calculation of moments of inertia, Euler angles, Euler equations (2 week).
7. Lagrangian mechanics. Calculus of variations, Lagrange equations, applications(2 weeks).
8. Hamiltonian mechanics. Hamilton's equations, Hamilton principle (1 week)
Bibliography
1. "Classical Mechanics", T. W. B. Kibble, and F. H. Berkshire, 2004, Imperial College Press.
2. "Classical mechanics", J. R. Taylor, 2005, University Science Books.
3. "Analytical Mechanics", G. R. Fowles and G. L. Cassiday, 2004, Brooks Cole; International edition
2. "Classical mechanics", J. R. Taylor, 2005, University Science Books.
3. "Analytical Mechanics", G. R. Fowles and G. L. Cassiday, 2004, Brooks Cole; International edition
