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Analytical Mechanics II (Spring 2019)
General: (The webpage of the course is updated gradually) - Last Update 28 June 2019
This is a B.Sc. course, which will be held in Physics Department of Sharif University of Technology.
Class Time: Saturday and Monday 9:00 - 10:30
Place: Talar 6
Office Hours: Sunday 8:00 - 9:00 / Tuesdays 8:00 - 9:00 (Or by appointment - Email: baghram@sharif.edu)
Registered students: 70
About the Course:
This is the continuation to Analytical Mechanics I ( as introductory course on Analytical Mechanics), one of the main courses of Physics department for B.Sc. students.
The main course book is: Classical Dynamics of Particles and Systems by Stephen T. Thornton and Jerry B. Marion
Cengage Learning; 5 edition (July 7, 2003)
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Teacher Assitants:
Hamed Kameli email address: hkameli@gmail.com
Javad Tabatabaie email address: smjty25@gmail.com
TA Class Group 1: Sundays 16:30 - 18:00 - Ebn Sina 13
TA Class Group 2: Mondays 16:30 - 18:00 - Ebn Sina 24
Grading:
Mid-term 1: 4 points YOU CAN SEE THE RESULTS HERE Monday 20 Esfand 1397 / 11 March 2019 @ 8:30-10:30
Mid-term 2: 5 points YOU CAN SEE THE RESULTS HERE Monday: 9 Ordibehesht 1398/29 April 2019 @ 8:30-10:30
Assignments: 4 points YOU CAN SEE THE RESULTS HERE.
Final Exam : 7 points YOU CAN SEE THE RESULTS HERE. Monday: 27 Khordad 1398 / 17 June 2019 @ 9:00-12:00
Essay, Presentation and Class Activity: bonus points up to +1 Monday: 6 Khordad 1398 / 27 May 2019 @ 9:00-12:00 Place:TBA
Total grade: 20 + 1 + Bonus Points YOU CAN SEE THE TOTAL GRADING HERE
Suggested Reading: (In chronological Order)
1) The theoretical Minimum by Leonard Susskind and George Hrabovsky - 2013
2)Classical Mechanics, Second Edition by Tai Chow - 2013
3) An Introduction to Mechanics by Daniel Kleppner and Robert Kolenkow (Nov 18, 2013)
4) Introduction to Classical Mechanics, David Morin, 2008
5) Classical Mechanics by John R. Taylor - 2005
6) Classical Mechanics (5th Edition) by Tom W B Kibble and Frank H Berkshire - 2004
7)Classical Mechanics (3rd Edition) by Goldstein, Poole and Safko – 2001
8) Mechanics- Landau and Lifshitz 1975
8) Mechanics (3rd Edition) by Symon – January 11, 1971
Lectrure Notes and Presentations:
Time Line of Lectures:
Lecture 1: ( Saturday - 2 February 2019 / 13 Bahman 1397 )
Introduction to the course. The plan of the AMII, the grading system and etc. Chapter 8 of Marion central force is discussed.
Lecture 2: ( Monday - 4 February 2019 / 15 Bahman 1397 )
In this lecture, we derive the equation of the motion of a two body system. we analyses the Lagrangian and effective potential of the system and using the constant of the motion we obtain that the motion of the reduced mass is a conic section. The story of Emmy Noether is told.
Lecture 3: ( Saturday - 16 February 2019 / 27 Bahman 1397 )
In this lecture we derive the Kepler's law with detail.
Lecture 4: ( Monday - 18 February 2019 / 29 Bahman 1397 )
In this lecture we study the Precise observations of the precision perihelion shift of Mercury and the orbit transfer in central force. The Story of Johannes Kepler part 1 is told.
Lecture 5: ( Saturday - 23 February 2019 / 4 Esfand 1397 )
In this lecture we study the stability of bound circular motions in central force. The Laplace-Runge-Lenz vector is introduced and discussed with detail.
Lecture 6: ( Monday - 25 February 2019 / 6 Esfand 1397 )
Dynamic of System of Particles 1: In this lecture we study the physics of many body stem and we derive the conservation of the momentum and angular momentum. The Story of Johannes Kepler part 2 is told.
Lecture 7 : ( Saturday - 2 March 2019 / 11 Esfand 1397 )
Dynamic of System of Particles 2: In this lecture we study the concept of conservation of the Energy in many body systems. Then we start the discussion of elastic collision.
Lecture 8: ( Monday - 4 March 2019 / 13 Esfand 1397 )
Dynamic of System of Particles 3
Lecture 9: ( Saturday - 9 March 2019 / 18 Esfand 1397 )
Dynamic of System of Particles 4
Lecture 10: ( Monday - 11 March 2019 / 20 Esfand 1397 )
Midterm Exam I
Lecture 11: ( Saturday - 16 March 2019 / 25 Esfand 1397 )
In this lecture we wrap up the chapter of the sysytem of the Particles.
Lecture 12: ( Monday - 18 March 2019 / 27 Esfand 1397 )
In this lecture we discuss the Hamilton-Jacobi equation via the idea of canonical transformations. The Story of Carl Gustav Jacob Jacobi part 2 is told.
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1398 Khorshidi
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Lecture 13: ( Saturday - 6 April 2019 / 17 Farvardin 1398 )
The Newtonian Dynamics in non-inertial frame is discussed. (I)
Lecture 14: ( Monday - 8 April 2019 / 19 Farvardin 1398 )
The Newtonian Dynamics in non-inertial frame is discussed. (II)
Lecture 15: ( Saturday - 13 April 2019 / 24 Farvardin 1398 )
The introduction to rigid body.
Lecture 16: ( Monday - 15 April 2019 / 26 Farvardin 1398 )
In this lecture we discuss the idea of the tensor of inertia and the rotational kinetick energy.
Lecture 17: ( Saturday - 20 April 2019 / 31 Farvardin 1398 )
In this lecture, we discuss the idea of the principle axis of a rigid body and the physics of diagonalizing the moment of inertia.
Lecture 18: ( Monday - 22 April 2019 / 2 Ordibehesht 1398 )
In this lecture we introduce the Euler angles and Euler equuations for a rigid body.
Lecture 19: ( Saturday - 27 April 2019 / 7 Ordibehesht 1398 )
Lecture 20: ( Monday - 29 April 2019 / 9 Ordibehesht 1398 )
Midterm Exam II
Lecture 21: ( Saturday - 4 May 2019 / 14 Ordibehesht 1398 )
Lecture 22: ( Monday - 6 May 2019 / 16 Ordibehesht 1398 )
Lecture 23: ( Saturday - 11 May 2019 / 21 Ordibehesht 1398 )
Lecture 24: (Monday - 13 May 2019 / 23 Ordibehesht 1398 )
Lecture 25: ( Saturday - 18 May 2019 / 28 Ordibehesht 1398 )
Lecture 26: (Monday - 20 May 2019 / 30 Ordibehesht 1398 )
Lecture 27: ( Saturday - 25 May 2019 / 4 Khordad 1398 )
Classical Field theory
Lecture 28: (Monday - 27 May 2019 / 6 Khordad 1398 )
Presentation day - Place TBA
Assignments:
1) Homework Set 1 due to Monday 29 Bahman 1397 / 18 February 2019
2) Homework Set 2 due to Monday 13 Esfand 1397 / 4 March 2019
3) Homework Set 3 Midterm Exam due to Monday 19 Farvardin 1397 / 8 April 2019
4) Homework Set 4 due to Saturday 31 Farvardin 1398 / 20 April 2019
5) Homework Set 5 due to Monday 9 Ordibehesht 1398 / 29 April 2019
6) Homework Set 6 due to Saturday 21 Ordibehesht 1398 / 11 May 2019
7) Homework Set 7 due to Monday 27 Khordad 1398 / 17 June 2019
Essays and Projects:
In the case you choose your project, please email and announce it. We can discuss about your projects via emails. You can ask TAs to have their help also.
The projects can be done by 1 or 2 students. And for the last session of class there will be a 15 minute presentations (12+3minutes Q/A).
1 ) Laplace - Runge - Lenz Vectore
Soroush Ashoori and Mehdi Sedighi
Useful Links:
will be updated...
1) A lecture note on Classical Dynamics by Dr. David Tong - Cambridge and the home page of course.
2) Homepage of classical mechancs course by Philip 'Flip' Tanedo in University of California - Irvine
3) Online video lectures on Classical Mechanics by L. Susskind