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Analytical Mechanics II (Spring 2020) 

Analytical Mechanics II Class  + Zeynab - 13 June 2020 - virtual class - Pandemic era


General: (The webpage of the course is updated gradually)  - Last Update  8 August 2020

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:  Lecture Hall (Talar) 6

Office Hours:  Sunday  8:00 - 9:00  /  Tuesdays 8:00 - 9:00  (Or by appointment - Email: baghram@sharif.edu)  

Registered students: ...


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

Kiana Salehi                             email address: kiana0121@gmail.com

Mohammad Hosein Sharifi       email address: smhsksharifi@gmail.com

 


Grading:

Mid-term 1:   4  points   YOU CAN SEE THE RESULTS HERE

MID-TERM I - EXAM - TAKE HOME 

 START: THURSDAY  4 Ordibehesht 1399 - 23 April 2020 @ 9:00 

Due to :        FRIDAY  5 Ordibehesht 1399 - 24 April 2020 @ 23:59

Send your solutions to sh.baghram@gmail.com

MID-TERM I - EXAM - TAKE HOME   -  Video Clip for Exam.

In the case, if you have any problem in viewing the TH or vide-clip please contact me. 

Mid-term 2:   5  points    YOU CAN SEE THE RESULTS HERE  

MID-TERM II - EXAM - TAKE HOME  

START: THURSDAY  22 Khordad 1399 - 11 June  2020 @ 9:00 

Due to :        FRIDAY  23 Khordad 1399 - 12 June  2020 @ 23:59

Send your solutions to sh.baghram@gmail.com

Assignments: 4  points     YOU CAN SEE THE RESULTS HERE

Final Exam :  7  points    YOU CAN SEE THE RESULTS HERE.  Sunday 22 Tir 1399 - 12 July 2020  @ 9:00-12:00

FINAL EXAM

NOTE ON FINAL EXAM

Send your solutions to sh.baghram@gmail.com  

***

FINAL GRADE: YOU CAN SEE THE RESULTS HERE

Essay (Term Paper) and Class Activity:  bonus points up to +1      Due to Friday 27 Tir 1399 / 17 July 2020 @ 23:59

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:

Lecture for 10 Esfand 1398   You can find the Audio-Video of this lecture  in youtube or aparat

Lecture for 12 Esfand 1398   You can find the Audio-Video of this lecture  in youtube or aparat

Lecture for 17 Esfand 1398   You can find the Audio-Video of this lecture  in youtube or aparat

Lecture for 19 Esfand 1398   You can find the Audio-Video of this lecture  in youtube or aparat

Lecture for 24 Esfand 1398   You can find the Audio-Video of this lecture  in youtube or aparat

Lecture for 26 Esfand 1398   You can find the Audio-Video of this lecture  in youtube or aparat

Lecture for 16 Farvardin 1399   This lecture will be taught and discussed in vclass

Lecture for 18 Farvardin 1399   This lecture will be taught and discussed in vclass  + App. I

Lecture for 23 Farvardin 1399   This lecture will be taught and discussed in vclass

Lecture for 25 Farvardin 1399   This lecture will be taught and discussed in vclass

Lecture for 30 Farvardin 1399   This lecture will be taught and discussed in vclass

Lecture for 1 Ordibehesht 1399   This lecture will be taught and discussed in vclass

* Lecture Notes on Special Topics in Hamiltonian Mechanics

( Lecture I Lecture IILecture IIILecture IVLecture V)

 This lecture will be taught and discussed in vclass  for 6, 8, 13 and 15 Ordibehesht 1399

Lecture for 20 Ordibehesht 1399   This lecture will be taught and discussed in vclass

Lecture for 22 Ordibehesht 1399   This lecture will be taught and discussed in vclass

Lecture for 27 Ordibehesht 1399   This lecture will be taught and discussed in vclass

Lecture for 29 Ordibehesht 1399   This lecture will be taught and discussed in vclass

Lecture for  10 Khordad 1399    lecture in  vclass , You can find the Audio-Video of this lecture  in  aparat (part 1) and aparat (part 2)

Lecture for  12 Khordad 1399    lecture in  vclass ,   + App I

Lecture for  17 Khordad 1399    lecture in  vclass ,

Lecture for  19 Khordad 1399    lecture in  vclass ,

Lecture for  24 Khordad 1399    lecture in  vclass ,

Lecture for  26 Khordad 1399    lecture in  vclass ,


Time Line of Lectures:

Lecture  1: ( Saturday  - 19 Bahman 1398 -  8 Feb 2020)

An inroduction to the Analytical Mechanics II

Lecture  2: ( Monday  -  21 Bahman 1398 -  10 Feb 2020)

Central force, its Lagrangians and equation of states are discussed.

Lecture  3: (  Saturday  - 26 Bahman 1398 -  15 Feb 2020)

In this lecture we study the concept of motion on elliptic motion. Keplerian orbits are derived.

Lecture  4: ( Monday  -  28 Bahman 1398 -  17 Feb 2020)

In this lecture, we discuss the idea of the effective potential in motion with central force.

Lecture  5: ( Saturday  - 3 Esfand 1398 -   22 Feb 2020)

In this lecture we study the conservation laws in system of particles.

Lecture  6: ( Monday  -  5 Esfand 1398 -  24 Feb 2020)

University is closed due to COVID-19

Lecture  7: ( Saturday  - 10 Esfand 1398 -   29 Feb 2020)

Lecture for 10 Esfand 1398    You can find the Audio-Video of this  lecture  in youtube or aparat

Lecture  8: ( Monday  -  12 Esfand 1398 -  2 March 2020)

Lecture for 12 Esfand 1398    You can find the Audio-Video of this lecture  in youtube or aparat

Lecture  9:  ( Saturday  - 17 Esfand 1398 -   7 March 2020)

Lecture for 17 Esfand 1398   You can find the Audio-Video of this lecture  in youtube or aparat

Lecture  10:  (  Monday  - 19 Esfand 1398 -  9 March 2020) 

Lecture for 19 Esfand 1398   You can find the Audio-Video of this lecture  in youtube or aparat

Mid Term Exam I -  postponed

Lecture  11:  ( Saturday  - 24 Esfand 1398 -   14 March 2020)

Lecture for 24 Esfand 1398   You can find the Audio-Video of this lecture  in youtube or aparat

Lecture  12:  ( Monday  - 26 Esfand 1398 -  16 March 2020)

Lecture for 26 Esfand 1398   You can find the Audio-Video of this lecture  in youtube or aparat

NEW YEAR - 1399

Lecture  13:  ( Saturday  - 16 Farvardin 1399 -   4 April 2020)

Lecture for 16 Farvardin 1399   This lecture will be taught and discussed in vclass

Lecture  14:  ( Monday  - 18 Farvardin 1399 -  6 April 2020)

Lecture for 18 Farvardin 1399   This lecture will be taught and discussed in vclass  + App. I

Lecture  15:   ( Saturday  - 23 Farvardin 1399 -   11 April 2020)

Lecture for 23 Farvardin 1399   This lecture will be taught and discussed in vclass

Lecture  16:   ( Monday  - 25 Farvardin 1399 -   13 April 2020)   

Lecture for 25 Farvardin 1399   This lecture will be taught and discussed in vclass

Lecture  17:   ( Saturday  - 30 Farvardin 1399 -   18 April 2020)

Lecture for 30 Farvardin 1399   This lecture will be taught and discussed in vclass

Lecture  18:   ( Monday  - 1 Ordibehesht 1399 -  20 April 2020)

Lecture for 1 Ordibehesht 1399   This lecture will be taught and discussed in vclass

*******

MID-TERM I - EXAM - TAKE HOME   -  Video Clip for Exam.

In the case, if you have any problem in viewing the TH or vide-clip please contact me.  

START: THURSDAY  4 Ordibehesht 1399 - 23 April 2020 @ 9:00 

Due to :        FRIDAY  5 Ordibehesht 1399 - 24 April 2020 @ 23:59

Send your solutions to sh.baghram@gmail.com

*******

Lecture  19:   ( Saturday  - 6 Ordibehesht 1399 -   25 April 2020)

 *Lecture Notes on Special Topics in Hamiltonian Mechanics

( Lecture I Lecture IILecture IIILecture IVLecture V)

Lecture  20:   ( Monday  - 8 Ordibehesht 1399 -  27 April 2020)

* Lecture Notes on Special Topics in Hamiltonian Mechanics

( Lecture I Lecture IILecture IIILecture IVLecture V)

Lecture  21:    ( Saturday  - 13 Ordibehesht 1399 -   2 May 2020) 

 * Lecture Notes on Special Topics in Hamiltonian Mechanics

( Lecture I Lecture IILecture IIILecture IVLecture V)

Lecture  22:    ( Monday  - 15 Ordibehesht 1399 -  4 May 2020) 

 * Lecture Notes on Special Topics in Hamiltonian Mechanics

( Lecture I Lecture IILecture IIILecture IVLecture V)

Lecture  23:    ( Saturday  - 20 Ordibehesht 1399 -   9 May 2020)

Lecture for 20 Ordibehesht 1399   This lecture will be taught and discussed in vclass

Lecture  24:    ( Monday  - 22 Ordibehesht 1399 -  11 May 2020)

Lecture for 22 Ordibehesht 1399   This lecture will be taught and discussed in vclass

Lecture  25:    ( Saturday  - 27 Ordibehesht 1399 -   16 May 2020)

Lecture for 27 Ordibehesht 1399   This lecture will be taught and discussed in vclass

Lecture  26:    ( Monday  - 29 Ordibehesht 1399 -  18 May 2020)

Lecture for 29 Ordibehesht 1399   This lecture will be taught and discussed in vclass

Lecture  27:    ( Saturday  - 3 Khordad 1399 -   23 May 2020)

Pause - Reading Time

Monday  - 5 Khordad 1399 -  25 May 2020 Official Holiday

Lecture  28:    ( Saturday  - 10 Khordad 1399 -   30 May 2020)

Lecture for  10 Khordad 1399   This lecture will be taught and discussed in vclass

You can find the Audio-Video of this lecture  in  aparat (part 1) and aparat (part 2)

Lecture  29:    ( Monday  - 12 Khordad 1399 -  1 June 2020)

Lecture for  12 Khordad 1399    lecture in  vclass ,   + App I   This lecture will be taught and discussed in vclass

Lecture  30:    ( Saturday  - 17 Khordad 1399 -   6 June 2020)

Lecture for  17 Khordad 1399    lecture in  vclass ,

Lecture  31:    ( Monday  - 19 Khordad 1399 -  8 June 2020)

Lecture for  19 Khordad 1399    lecture in  vclass ,

MID-TERM II - EXAM - TAKE HOME  

START: THURSDAY  22 Khordad 1399 - 11 June  2020 @ 9:00 

Due to :        FRIDAY  23 Khordad 1399 - 12 June  2020 @ 23:59

Send your solutions to sh.baghram@gmail.com

Lecture  32:    ( Saturday  - 24 Khordad 1399 -   13 June 2020)

Lecture for  24 Khordad 1399    lecture in  vclass ,

Lecture  33:    ( Monday -  26  Khordad 1399 -   15 June 2020)

Lecture for  26 Khordad 1399    lecture in  vclass ,


Assignments:

1) Problem Set 1  due to Monday 12 Esfand 1398 - 2 March 2020

2) Problem Set 2  due to Monday 25 Farvardin 1399 - 13 April 2020

3) Problem Set 3  due to Monday 1 Ordibehesht 1399 - 20 April 2020

4) Problem Set 4  due to Saturday 26 Khordad 1399 - 6 June 2020

5) Problem Set 5  due to Monday 26 Khordad 1399 - 15 June 2020

6) Problem Set 6  Choose three problems from Prof. Tong  Home-works Normal Modes, Inertia Tensors and Rotations

due to Saturday 26 Khordad 1399 - 15 June 2020

7) Problem Set 7  Choose three problems from Prof. Tong  Home-works Euler's Equations and Euler Angles

due to Monday 31 Khordad 1399 - 20 June 2020

8)  Problem Set 8  Choose three problems from Prof. Tong  Hamiltonian Formulation

due to Monday 31 Khordad 1399 - 20 June 2020


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).


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

4) Theoretical Minimium 

Classical Field theory useful links:

1) Lecture Notes of Joseph Conlon University of Oxford

2) Lecture Notes of Janos Polonyi   Department of Physics, Strasbourg University, Strasbourg, France

3) Lecture Notes of  Charles Torre Utah State University

Books:

Classical Field Theory: Electromagnetism and Gravitation By Francis E. Low, 2004

Classical Field Theory By Davison E. Soper, 2008

Special Relativity and Classical Field Theory: The Theoretical Minimum Front Cover Leonard Susskind, Art Friedman, 2017

Classical Field Theory Front Cover Horaƫiu Năstase, 2019