Classical Mechanics for BSc Honours Physics

[@cleverprofilemathsandphysi558]

Here’s a summary of the KZbin video titled 𝐍𝐞𝐰𝐭𝐨𝐧𝐢𝐚𝐧 𝐯𝐬 𝐂𝐥𝐚𝐬𝐬𝐢𝐜𝐚𝐥 𝐌𝐞𝐜𝐡𝐚𝐧𝐢𝐜𝐬: 1. 𝐍𝐞𝐰𝐭𝐨𝐧𝐢𝐚𝐧 𝐯𝐬 𝐂𝐥𝐚𝐬𝐬𝐢𝐜𝐚𝐥 𝐌𝐞𝐜𝐡𝐚𝐧𝐢𝐜𝐬: The video begins by distinguishing Newtonian mechanics, which is taught at the undergraduate level, from classical mechanics, a more advanced concept typically studied at the postgraduate level. 2. 𝐑𝐨𝐥𝐞 𝐨𝐟 𝐆𝐞𝐧𝐞𝐫𝐚𝐥𝐢𝐳𝐞𝐝 𝐂𝐨𝐨𝐫𝐝𝐢𝐧𝐚𝐭𝐞𝐬: Classical mechanics starts by focusing on generalized coordinates, a mathematical abstraction that allows for a broader understanding of physical systems beyond the basic Newtonian approach. 3. 𝐇𝐚𝐦𝐢𝐥𝐭𝐨𝐧'𝐬 𝐏𝐫𝐢𝐧𝐜𝐢𝐩𝐥𝐞: Classical mechanics seeks to explain why the equation F = ma holds. This principle, introduced by Hamilton, is a broader formulation that applies not just to mechanics but to many physical phenomena. 4. **Comparison with Fermat's Principle**: Hamilton's principle is likened to Fermat's principle in optics, which states that light travels along the path that minimizes travel time. Similarly, Hamilton’s principle involves the minimization of "action," a quantity that governs mechanical systems. 5. **Action and Extremization**: Unlike time in optics, the action in mechanics is minimized (or extremized) based on the system. The action is represented as an integral involving the Lagrangian, a function of generalized coordinates and velocities. 6. **Role of Mathematics**: Classical mechanics is heavily mathematical, focusing on understanding nature through mathematical models rather than direct experimentation. The study involves concepts like derivatives, integrals, and variational principles. 7. **Newton’s Contribution to Calculus**: The video highlights that Newton’s invention of calculus enabled the formulation of F = ma by providing a method to compress experimental data into equations, a crucial development for modern physics. 8. **Generalized Coordinates and Velocities**: The video explains that in classical mechanics, instead of using specific quantities like distance or angle, generalized coordinates (denoted as Q) and generalized velocities (\dot{Q}) are used for a more flexible and generalized description of a system. 9. **Lagrangian Mechanics**: The Lagrangian, a function of generalized coordinates, velocities, and time, plays a central role in classical mechanics. The action is the integral of the Lagrangian over time, and minimizing it leads to the equations of motion for a system. 10. **Universality of Hamilton’s Principle**: The video concludes that Hamilton’s principle is a more universal framework than F = ma. While F = ma is specific to mechanical systems, Hamilton’s principle can be applied to a wide range of physical systems, making it a foundational principle in classical mechanics. This video provides a deep dive into the theoretical underpinnings of classical mechanics, transitioning from Newtonian mechanics to a more advanced mathematical framework using Hamilton's principle.

[@ProfSivakumarRajagopalan]

Thanks a lot for nicely summarizing what I explained in my video.

[@rayannzzz]

6 module hai •Classical mechanic •Relativistic mechanics •Lagrangian mechanic •Introduction to Modern Physics • Introduction to Electromagnetic Theory •Introduction of Laser Physics and their Applications

[@elamvaluthis7268]

Minutest of minutest concepts taught.superb.very rare excellent teaching.

[@pallavikumari6757]

Very nice lecture, you cleared all my concepts I've been struggling with till my undergraduation. Thanks a lot 🙏

[@aryaremoon7033]

Very nice...understand all the concepts now.....after 12 years back...thank you sir..

[@amandahiya104]

what an amazing overview 🥰🥰

[@devmathur4333]

Beautifully explained the topic. I saw many video lectures of the people on lagrangian and Hamiltonian mechanics, and then I just get too bored and then I check how much time is left for video to end. But while watching you video I did not got bored and even did not realised that how 1 hour got passed

[@ProfSivakumarRajagopalan]

Glad you enjoyed it!

[@pragyan..7856]

Thank you sir...really it's an amazing lecture..

[@astrophileaudiophile4100]

You are a genius dear Sir🙏🏻🙏🏻🙏🏻 Kindly provide these videos in an app...I wanna join your course🙏🏻🙏🏻🙏🏻 I love physics...😇

[@dilshadp9189]

you are a life saver. love you sir

[@sarojatheloverofmetaphysic5627]

Hello, sir Very good morning. Sir, I have read and downloaded all the uploaded videos of ( classical Mechanics, Electromagnetism, Mathematical physics) your playlist and made notes.

[@jennifera5872]

Thank you for your enriching lecture Sir

[@V15H4L_4RJUN]

Thank you sir this gives an amazing overview of classical mechanics

[@ProfSivakumarRajagopalan]

Glad it was helpful!

[@reporterravinews]

Sir ab agla lecture kb dalenge

[@chiluveriakshith228]

your explanation superb sir .thank you so much

[@ProfSivakumarRajagopalan]

Thanks and welcome

[@musaddiquekhan1988]

Excellent introduction to classical mechanics...

[@jayasreekama6783]

your explanation too good

[@ProfSivakumarRajagopalan]

Thanks and welcome!

[@abhijitsethi9792]

Thanks sir for this valuable lecture 🙏

[@ProfSivakumarRajagopalan]

Playlist for Laplace Transform kzbin.info/aero/PLtUBquogGkRtVzNJEeG8VTAU_Q2EkZYTl Playlist for Series Solution of Differential Equations kzbin.info/aero/PLtUBquogGkRt-fPrxGJVT7krIpNSVTFP4 Playlist for Vector Spaces and Groups kzbin.info/aero/PLtUBquogGkRtnrllkLzMlVu_qIcH19BKI Playlist for Group Theory (by Prof SVMS) kzbin.info/aero/PLtUBquogGkRsIatkJJxaX5msKYMWUk8H- Playlist for BSc Electricity and Magnetism kzbin.info/aero/PLtUBquogGkRu66Kqgs3HsEpHEP6IA8oQ7 Playlist for MSc Classical Mechanics kzbin.info/aero/PLtUBquogGkRukyAAWOmq2LmQx8Yf9H_3E Playlist for MSc Classical Electrodynamics kzbin.info/aero/PLtUBquogGkRv5CME__m2oudBqW3_ffv33 Fourier Series Lecture-1 kzbin.info/www/bejne/gmSzeWmgfNqJpMU Fourier Series Lecture-2: Foundations kzbin.info/www/bejne/jIrLna1jjr5mesk Fourier Series Lecture-3 kzbin.info/www/bejne/famuZ6qpit9jeZY Laplace Transform Lecture-1 kzbin.info/www/bejne/qpK3lHV8ntd2pZo Laplace Transform Lecture-2 kzbin.info/www/bejne/rnWTlGmcq52BZqs Laplace Transform Lecture-3 kzbin.info/www/bejne/pZ2yXn9-hZ1sirs Laplace Transform Lecture-4 kzbin.info/www/bejne/n6LLl42nhdarp7M Laplace transform Lecture-5 kzbin.info/www/bejne/b2aqqJmQbKuGo5o Laplace Transform Lecture-6 kzbin.info/www/bejne/j2m1nnp-adOYaZo Laplace Transform Lecture-7 kzbin.info/www/bejne/hpbRp5xppdNnqaM Laplace Transform Lecture-8 kzbin.info/www/bejne/bqnClKuoasyJeqs Laplace Transform Lecture-9 kzbin.info/www/bejne/jZ3OqWqNf813Y8U Laplace Transform Lecture-10 (Part-1) kzbin.info/www/bejne/m2jYl5Khraybr5Y Laplace Transform Lecture-10 (Part-2) kzbin.info/www/bejne/o6anqqFrht6igdU Laplace Transform Lecture-10 (Part-3) kzbin.info/www/bejne/anSne2SZpJesbNE

[@sampadsaha3031]

Thank you Sir. Great lectures.

[@AnithaElmajala-cn7jl]

Thank you so much sir Excellent💯👏 Teaching

[@joserobing661]

Good presentation.

[@dhileshwararaosorra9]

Excellent teaching sir

[@Adedayodeji]

Amazing explanations!

[@ProfSivakumarRajagopalan]

Happy to know!

[@Adedayodeji]

@@ProfSivakumarRajagopalan looking forward to your Statistical mechanics course sir!

[@emranhasan7480]

Thank you for sharing such valuable lecture.

[@klmkt4339]

Yes. In ug we odserve the behaviour and thought. Here we need to imagine the eqn and think

[@sumansemwal4981]

is there any good alternative for golstein? (i am a math ug but the prof is teaching it fast and more like an phys msc course)

[@ProfSivakumarRajagopalan]

For UG-level mechanics (mathematics students) start reading (1) Mechanics by Duraipandian, and (2) Dynamics by ML Khanna. For PG-level mechanics please read (1) Online Notes entitled Classical Dynamics by MVN Murthy www.scribd.com/document/248326463/classical-mechanics and (2) A Student's Guide to Lagrangians and Hamiltonians by Patric Hamill.

[@anindyaroy8553]

​@@ProfSivakumarRajagopalan Dear Professor, What are your thoughts on Theoretical Physics Volume 2 by Wolfgang Nolting, which covers Analytical Mechanics?

[@gollavijayalaxmi7444]

Sir,ur lecture is sooo interested,pls upload all concepts,it's my humble request sir..TQ sir

[@MuhammadIsmail-yq4qq]

Waiting for system of particles

[@ProfSivakumarRajagopalan]

Yes. It will come.

[@bscphysics8546]

Sir your teachings system very best

[@afroz2271]

Thank you Sir! Please upload whole syllabus of msc physics

[@ProfSivakumarRajagopalan]

Already 32 lectures are available in the playlist of MSc Classical Mechanics as below. The topics not covered in this list will be uploaded this semester. kzbin.info/aero/PLtUBquogGkRukyAAWOmq2LmQx8Yf9H_3E

[@afroz2271]

@@ProfSivakumarRajagopalan Thanks Sir! I'll wait for further videos lectures.

[@vishwa9713]

It's a good overview sir. Thank You...

[@dr.usamapathan2779]

Nice explanation,Sir!

[@physicsrmr2949]

Well explained sir🙏

[@milanrai6988]

Apki sabhi videos bahot achchhe hai, I really apreciate it. Can you make some videos on how Langrange multiplier works with some examples ??

[@suprithm1248]

Sir plz do quantum mechanics class

[@kumarivangapandla374]

Sir really excellent sir.tq si much🙏🙏🙏🙏🙏

[@ProfSivakumarRajagopalan]

You're most welcome and keep learning.

[@klmkt4339]

50.00 there you are the subject point is there. Lagrange

[@physicsdigictutorials4you163]

Just great

[@bharathibabu4048]

Sir now only I am going to join now it is easy to go up with these sir

[@masoomladkaaproudvegan2876]

sir amazing sir awesome

[@saadmz123]

It is amazing byGOD

[@Akhil-f1i]

Can you please share pdf notes of the class

[@Rittiuu]

Sir aapke Google meet lecture kese join kare please reply

[@ProfSivakumarRajagopalan]

During the corona period, Google Meet was done. Now, all classes are going on in the offline.

[@Rittiuu]

@@ProfSivakumarRajagopalan ok sir

[@sarojatheloverofmetaphysic5627]

Sir, I have completed MPhil physics and now I am preparing for phd physics entrance JEST, TIFR. Please sir, guide me, I want to do research on theoretical physics.

[@soumyadeepchakraborty2847]

You make me fall in love with this topic ❤️❤️❤️❤️❤️। Awesome introduction

[@ProfSivakumarRajagopalan]

Glad you enjoy it!

[@sitakalyani1]

Very useful lecture sir

[@khairunnisha4035]

Kya ye classes msc physics previous year agra University ke liye bhi le skte h plz sir reply

[@ProfSivakumarRajagopalan]

For almost every university, the MSc level classical mechanics contain same topics as covered in the Goldstein book. Hence this lecture series is useful for all universities.

[@velavan.b2321]

Is physics is easy😎 can i join in Pondicherry university sir

[@murugan5280]

Amazing..Every words are explaind ... Easily understanding the concepts and learning more.. Pls make videos for quantum mechanics.. Thank you sir..

[@ProfSivakumarRajagopalan]

I will try quantum mechanics in the next semester. Thanks for your interest.

[@pratyushmohanty6185]

Thanks sir.. explanation is quite nice specially the explanation of lagrangian...

[@ProfSivakumarRajagopalan]

Thank you!

[@harshadamangal628]

Thank you very much Sir.

[@klmkt4339]

Fermat principle apply to humans. They bend to make their life easier

[@anjalilohchab7693]

amazing lecture sir

[@ProfSivakumarRajagopalan]

Thanks for liking.

[@aqibjaved2393]

Can you upload any course of bsc level in this semester

[@ProfSivakumarRajagopalan]

I am already engaged with Classical Mechanics and Mathematical Methods, both at the MSc level. For the BSc level, I have to try in the future. Thanks for your interest.

[@ankitmishra2723]

Sir I have written all ur mathematical physics lectures in one separate copy and waiting for next lectures 🙏

[@sidharthasankarsahoo3507]

Sir can you please give some lecture on Hamilton Jacobi relation

[@ProfSivakumarRajagopalan]

Yes, I will upload a lecture on that.

[@simanchalasahu1844]

Sir please suggest books for mathematical physics and quantum mechanics (MSc physics)

[@ProfSivakumarRajagopalan]

MATHEMATICAL PHYSICS BOOKS (1) Jain and Iyengar. Advanced Engineering Mathematics. (2) V. Balakrishnan. Mathematical Physics QUANTUM MECHANICS (1) Zettili. Quantum Mechanics. (2) Ghatak. Quantum Mechanics. (3) Liboff. Quantum Mechanics.

[@tonykalu6154]

Thanks very much for your lectures prof. would you do lectures on quantum mechanics?

[@ProfSivakumarRajagopalan]

After Covid, we are restoring the regular offline classes.

[@klmkt4339]

​@@ProfSivakumarRajagopalanThe benefits of covid is your online lectures. Good and bad always exist at two sides of any outcome

[@arpithavenkatesh521]

U r lecture is like drinking water .nice sir

[@naincykiro2940]

Thankyou sir. Great and simple way of explaining

[@ProfSivakumarRajagopalan]

Thanks and keep learning.

[@lilabatitandi5909]

What experiment actually performed by Newton to find out the basic law,, F=ma

[@ProfSivakumarRajagopalan]

Roll a ball on an inclined plane. The angle of inclination is small (e.g. 5 degrees). So, the rolling speed is reasonably slow. Hence we can measure time to reach different points using a stopwatch. Based on large observation data at different inclination angles we can make forward and backward difference tables. "Difference tables" are the numerical method of derivatives. In this way, Newton himself first discovered the concept of derivatives, which was later popularized by Leibnitz.

[@lakshmipriya8779]

Which textbook is good for classical mechanics?

[@ProfSivakumarRajagopalan]

(1) Classical Mechanics by J. C. Upadhyaya. (2) Classical Dynamics by Thornton and Marion.

[@lakshmipriya8779]

@@ProfSivakumarRajagopalan Thank you sir

[@Epitome2]

Thanks a lot sir.

[@AneeshaHMSP]

Thankyou so much Sir🥺

[@ProfSivakumarRajagopalan]

Most welcome

[@klmkt4339]

Mai I request you to keep posting shorter videos further in these topics examples or basic earth principles

[@minnalyt2451]

Sir i want classic mechanics pdf sir

[@ProfSivakumarRajagopalan]

Welcome for your interest. I have only physical printed books with me. Try google search. Some books may be available for download. Otherwise, try amazon kindle books which are equivalent to pdf copies. Best wishes.

[@adwaitm6871]

Thank you, sir.

[@arunrajnambiar3149]

Thank you sir ❤️

[@harsharahim6836]

Thank you sir..

[@emayavank7983]

Thank you sir!

[@ಅರ್ಪಿತಾ-ತ4ಷ]

Thank you very much sir , Please solve M.Sc.Karnataka University Question paper to score a good marks

[@_P_Ankita]

Is it ok for delhi university msc sir?

[@ProfSivakumarRajagopalan]

Yes, the MSc syllabus is focused around the NET / GATE Physics syllabus. Therefore it is applicable for any university.

[@pallavikumari6757]

And please for quantum mechanics also 🙏

[@suprithm1248]

Iam bored with only Hindi lecture thank you for doing class in English

[@newtonpersec5365]

Sir , i am 1 st yeat btech iik student . Is this lecture benifical to me

[@ProfSivakumarRajagopalan]

Please check whether Lagrangian mechanics is there in your first year BTech syllabus. If yes, some lectures in this series will be useful.

[@newtonpersec5365]

@@ProfSivakumarRajagopalan thanks sir

[@muhammadhassanqureshi1831]

Sir is it complete course??

[@ProfSivakumarRajagopalan]

Yes, except for a few topics like Euler angles and small oscillations. I will upload lectures on these topics as well.

[@muhammadhassanqureshi1831]

@@ProfSivakumarRajagopalan thanks sir

[@hibapaliyil9269]

Thankyou sir

[@maheshmasiboina8385]

Sir it helps for pg entrance test

[@maheshmasiboina8385]

Reply

[@ankitmishra2723]

Thanks sir

[@anjalim5135]

thanku sir

[@klmkt4339]

Derive newtons force law crom Hamilton theory

[@sarojatheloverofmetaphysic5627]

Sir please upload video lectures for MSc theoretical physics 1. statistical mech. (thermo statics & thermo dynamics) , 2. Relativistic mechanics 3. Theoretical Quantum mechanics ( relativistic & non relativistic mech.) , 4. Theoretical fluid statics & Fluid dynamics, 5.Solid state physics 6.Atomic & laser physics , 7. Molecular physics, 8. Nuclear & Particle physics.

[@komatireddyshravani1338]

Msc phy 1st year syllabus in 2022 send me sir

[@mahima6144]

Sir hindi me bhi lectures karayein to jyada accha rahega

[@mahima6144]

Channel accha hai bs agar hindi mein samjhayein to aur bhi theek rahe

[@joeljeevantharakan7349]

Joel Jeevan 1st msc physics

[@জেলখানা]

Add bangla subtitles

[@awaisnizamani3754]

Sir what is way to contact you?

[@suri5301]

🙏🙏🙏🙏

[@SahilSharma-it6gf]

hindi m bta dee bhai

[@ashiqueyoosaf.s.a3207]

Thank you Sir. Ashique Yoosaf S A PU21031585

[@nitinraghorte9584]

Excellent teaching

[@umarani4349]

Very nice lecture sir

[@anu7793]

Sir thank you thank you so much ❤️

[@harshaamalraj5988]

Thank you so much sir

[@chetansharma3788]

Thank you sir !

[@anuragdubey5246]

Thank you sir

[@aswinp2159]

Thankyou sir

[@debikadas9180]

Thank you sir

[@amudhanm2699]

Thankyou sir

[@itsmeaddz7245]

Thank you sir🙏