Master Hamilton Principle in Classical Mechanics in Minutes!

[@ProfSivakumarRajagopalan]

MSc level Classical Electrodynamics Playlist ua-cam.com/play/PLtUBquogGkRv5CME__m2oudBqW3_ffv33.html
MSc level Vector space and Hilbert space for Quantum mechanics Playlist: ua-cam.com/play/PLtUBquogGkRuZH23UO-8AWR4dzcu-La8_.html
MSc level Classical Mechanics Playlist ua-cam.com/play/PLtUBquogGkRukyAAWOmq2LmQx8Yf9H_3E.html
BSc level Electricity and Magnetism Playlist ua-cam.com/play/PLtUBquogGkRu66Kqgs3HsEpHEP6IA8oQ7.html

[@SujanDas-zb7fj]

These lectures are very useful, Sir why did you stop Uploading??

[@adarshchandra600]

Thank you so much sir, you are one of the best teachers. Thank you so much.

[@mohammadsuleman3058]

Great sir
Hope I will learn the whole syllabus from u u make classical mechanic very interesting sir

[@ProfSivakumarRajagopalan]

All the best. Keep learning.

[@aparajita_official]

Sir, lots of thanks to you for your student friendly lecture.

[@tayyabahaider3872]

Such a great explanation ..thank you sir

[@ProfSivakumarRajagopalan]

Thanks and welcome.

[@sanju-cy4cf]

Awesome class...sir pls start class on electronics....and try to complete mathematical physics

[@theerdhathulasi6875]

Your explanations are very nice. Thank you sir

[@samarthmishra8101]

Sir, what is the mathematical formalisms behind Hamilton's principle.

[@ProfSivakumarRajagopalan]

Hamilton's principle itself is a mathematical principle. So, there is nothing like formalism to Hamilton's principle.

[@elamvaluthis7268]

Very nice explanation.

[@ProfSivakumarRajagopalan]

Glad it was helpful!

[@siddharth6633]

Sir, the action integral constraints the system to follow a particular path. So can we treat the equation as a non holonomic constraint equation?

[@ProfSivakumarRajagopalan]

The action integral does not impose any constraint. Rather, it allows for variation and finds where the minimum is. Therefore, action integral will not decide whether the dynamical system is holonomic or not.

[@siddharth6633]

Sir, is principle of stationary action and principle of extremisation same?

[@ProfSivakumarRajagopalan]

Yes, the words stationery and extremum point are used synonymously. In classical mechanics, it is known as the principle of stationary action. However, the word "stationary" is somewhat misleading and requires explanation. Stationary means setting the first derivative (condition for extrema) equal to zero.

[@siddharth6633]

All clear sir thank you

[@pankhuribansal2616]

Thanku so much Sir . Sir Is there any way we can find on what basis nature deciding which action is to be minimum or maximum like in fermat principle why nature choose time to be minimum and not distance

[@dr.shwetapatankar4292]

Excellent lecture enjoying your lecture , the way of teaching and waiting for such course module on classical mechanics. Thanks a lot Sir🙏

[@ProfSivakumarRajagopalan]

Thanks and welcome.

[@akshaysharma2482]

Sir here in hamilton principle we are taking the variation in phase space but in Goldstein book it is given that the variation is in the configuration space i.e. co-ordinate axis should be generalised co-ordinates .
Please clarify it

[@rishitiwari9724]

Sir please make a playlist for other topics like Quantum mecheanics,Nuclear physics,statistical mechanics and many more

[@shivammaharaj7828]

great way of putting things forward
....sir like what actually is equillibrium ...sir comment on it

[@ProfSivakumarRajagopalan]

At 56:30, I am explaining about energy minimization at thermodynamic equilibrium. This means you wait for a long time until the P, V, and T no longer changes. In the case of Hamilton's principle, this is equivalent to the path taken by a dynamical system. For example, if you throw a ball up at an angle of 30-degrees, then why is the shape of the trajectory a parabola and not something else? Here "parabolic trajectory" in dynamics is equivalent to "thermodynamic equilibrium" in thermodynamics.

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[@arunrajnambiar3149]

Thank you sir.

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Thanks a lot sir

[@MuhammadIsmail-oj3sj]

Very useful

[@ProfSivakumarRajagopalan]

Glad to hear that

[@karthikas6911]

Thank you sir ✨

[@emayavank7983]

Thank you sir!

[@ansifhussainvk6404]

Thank you sir 👍

[@debikadas9180]

Thank you sir

[@milanrai6988]

Great lecture ❤. But, I am not finding D'Alembert principle till now

[@ProfSivakumarRajagopalan]

You may start with the virtual work principle: ua-cam.com/video/-ATJ5uPKQ9U/v-deo.html

[@milanrai6988]

@@ProfSivakumarRajagopalan thank you so much sir 🙏

[@anaghavinayan7143]

Thankyou sir

[@harikrishnan2343]

Light travelling between two points in a medium takes a path for which
a) Distance is always minimum
b)Time of flight is extremum
c)Time of flight will always minimum
d)distance is extremum
Which option is correct?

[@anjalim5135]

Thanku sir

[@elamvaluthis7268]

What Buddha said avoid both extremes and go in the middlepath for life peaceful .extermination of good and bad thoughts ie minimising bad maximising good thoughts makes progress.

[@ProfSivakumarRajagopalan]

Good!

[@elamvaluthis7268]

@@ProfSivakumarRajagopalan Thank you sir for your reply.

[@joeljeevantharakan7349]

Joel Jeevan 1st msc physics

[@elamvaluthis7268]

Dispersion in prism due to crystal structure light deviates that path how can you say least path travel comparison and least time path not suitable since light travel from one medium to another medium depending upon density of the medium should not show minimum path distance it is the real phenomena so what is happening should be explained putting Hamiltonian principle unsuitable I suppose.Also Nature's preference also wrong.Reality is minimum effort required path electricity and light rays takes and passthrough and we measure it..

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