# Introduction to Classical Mechanics

By Prof. Anurag Tripathi   |   IIT Hyderbad
Learners enrolled: 1038
This introductory course on Classical Mechanics covers the following topics: Euler Lagrange Equations, Small Oscillations, Central Force Problem, Rigid Body Motion.

INTENDED AUDIENCE
MSc. Students

PREREQUISITES BSc in Physics. A course on Mechanics at BSc. level.
Summary
 Course Status : Completed Course Type : Core Duration : 12 weeks Category : Physics Credit Points : 3 Level : Postgraduate Start Date : 25 Jul 2022 End Date : 14 Oct 2022 Enrollment Ends : 08 Aug 2022 Exam Date : 30 Oct 2022 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

### Course layout

Week 1:Generalised coordinates, D’ Alembert’s Principle, Euler Lagrange equation of motion and its applications.
Week 2:Hamilton’s Principle. Conservation laws.
Week 3: Small oscillations: Free Oscillations, Damped oscillations.
Week 4:Forced Oscillations, Resonance, Normal Coordinates.
Week 5:Central force problem, reduction to 1 body problem, Equation of motion and first integrals.
Week 6:Classification of orbits. Scattering in central field.
Week 7: Kinematics of rigid body motion: Degrees of freedom of rigid body, orthogonal transformations.
Week 8:Euler angles, Euler’s theorem.
Week 9:Finite and infinitesimal rotations.What are tensors? Moment of inertial tensor
Week 10:Principle axis transformation,Euler Equation of motion
Week 11: Torque free motion of a rigid body. Heavy symmetrical top with one point fixed.
Week 12:Hamilton equation of motion, Conservation theorems, Canonical transformations.

### Books and references

1. Landau and Lifshitz: Mechanics
2. Classical Mechanics: Goldstein, Poole and Safko.
3. Hand and Finch: Analytical Mechanics

### Prof. Anurag Tripathi

Dr. Anurag Tripathi is Assistant Professor in the Department of Physics at IIT Hyderabad since 2015 and his area of research is Theoretical High Energy Physics. For more details visit https://www.iith.ac.in/~tripathi/ .

TEACHING ASSISTANT:

Dr. Neelima Agarwal is an Assistant Professor in Department of Physics at Chaitanya Bharathi Institute of Technology (A), Hyderabad since 2016. Her area of research is Theoretical High Energy Physics and Education Technology.

### Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 30 October 2022 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras. It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team