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HU Credits:
5
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Physics
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Prof Barak Kol
Coordinator Office Hours:
By appointment
Teaching Staff:
Prof Barak Kol
Nimrod Shaham
Paz Beniamini
Course/Module description:
A course in analytical mechanics
Course/Module aims:
See learning outcomes
Learning outcomes - On successful completion of this module, students should be able to:
Solve mechanics problems using Lagrangian and Hamiltonian formalisms.
Attendance requirements(%):
0
Teaching arrangement and method of instruction:
Lecture and recitation and problem sets.
Course/Module Content:
1. Lagrange equations: generalized coordinates, Hamilton's variation principle for holonomic systems, velocity dependent forces, non-holonomic systems.
2. Conservation Laws: energy, linear momentum, angular momentum, the virial theorem.
3. Integration of the equations of movement: problems with one degree of freedom, two body problem, movement in a central field, scattering in a central field.
4. Small oscillations: the small oscillation approximation, modes and eigen-frequencies, parametric resonance, a-harmonics oscillators.
5. Rigid Body: angular velocity, euler angles, the moment of inertia tenzor' Euler's equations, symmetric dreidel with no forces, symmetric dreidel in a gravitational field.
6. Hamilton-Jacobi theory: Hamilton equation, Poisson brackets,canonical generating transformations, Liousville theorem, Hamilton-Jacobi theorem, separation of variables, action-angle variables, adiabatic invariants.
Required Reading:
None
Additional Reading Material:
• הקורס מבוסס על רשימות הקורס המבוססות בתורן על הספרים שבהמשך. חומרים מסוימים של הקורס יופיעו באתר הקורס במערכת moodle http://moodle.huji.ac.il .
• Classical Mechanics, H. Goldstein,C. Poole and J. Safko (2002)
• Mechanics, Landau & Lifshitz (1960)
• Analytical Mechanics, L. Hand and J. Finch (1998)
)
Course/Module evaluation:
End of year written/oral examination 90 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 10 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
None
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