Classical Mechanics Lectures 06 | Holonomic Constraints

Classical Mechanics Lectures 06 | Holonomic Constraints | MSc Physics online classes

Рет қаралды 7,998

3 жыл бұрын

Classical Mechanics Lectures 06 | Holonomic Constraints | MSc Physics online classes - MSc Physics Lectures - Classical Mechanics by Sivakumar - In today's class, we learn how to classify the dynamical systems into autonomous, non-autonomous, holonomic systems. In the language of mathematics. I will explain these with examples. This way of explaining every minute detail will help weak students to raise up and clear the IIT GATE and similar examinations.
Classical Mechanics by Sivakumar is a series of rigorous classroom lectures for MSc (Physics) students. These lectures also will help the students clear the CSIR NET Physics, GATE, JEST, and the IIA entrance exams.
Recommended Readings:
Thornton and Marion. Classical Dynamics of Particles and Systems.
H. Goldstein. Classical Mechanics. 3rd edition.

Пікірлер: 183

@ProfSivakumarRajagopalan 3 жыл бұрын

MSc level Classical Electrodynamics Playlist kzfaq.info/sun/PLtUBquogGkRv5CME__m2oudBqW3_ffv33 MSc level Vector space and Hilbert space for Quantum mechanics Playlist: kzfaq.info/sun/PLtUBquogGkRuZH23UO-8AWR4dzcu-La8_ MSc level Classical Mechanics Playlist kzfaq.info/sun/PLtUBquogGkRukyAAWOmq2LmQx8Yf9H_3E BSc level Electricity and Magnetism Playlist kzfaq.info/sun/PLtUBquogGkRu66Kqgs3HsEpHEP6IA8oQ7 (a) Choose 1080p resolution when viewing the video on 10-inch tablet. (b) Use 4K resolution when viewing on laptop/desktop. (c) Keep the volume of the audio less than 86%. Otherwise, the sound may get distorted. (d) Use headphones to experience superior audio quality.

@suryaprasadpatra4143 3 жыл бұрын

Nice shot sir.🙏🙏

@manimaranr5752 Жыл бұрын

Thank you sir...I am a mathematics students ..searching for classical dynamics for long period...now I am in right place...ur teaching so effective and very much useful to me...one more request sir plse upload videos for continum mechanics and fluid dynamics

@shivammaharaj7828 2 жыл бұрын

sir your teaching style is really effective...ill be looking forward for more lectures on different topics.....this will really help students from all over india to get a quality in depth understanding of fundamental concepts.

@ProfSivakumarRajagopalan 2 жыл бұрын

Thanks and welcome. Best wishes to keep learning.

@elamvaluthis7268 2 жыл бұрын

Students who study under you are blessed.

@archanap740 2 жыл бұрын

Great lectures sir

@NithunaN 2 жыл бұрын

Thank you sir. Great lecture sir

@sharmilank2545 2 жыл бұрын

Great lecture Sir

@elamvaluthis7268 2 жыл бұрын

Very nice.

@devismitapanda3252 3 жыл бұрын

I have 2 questions. 1) We see there can be more than one constraints present in a system of interest. My question is- Is it possible to have some constraints Holonomic and the rest are non-holonomic? If possible, then would that situation be taken wholely as Non-holonomic one? 2) You wrote Newton's equation of motion as negative(partial derivative of potential wrt "x") = mass.double derivative of "x" wrt time. Here we see "x" is there as both dependent and independent variable. Also the LHS is a partial differentiation, whereas RHS is an ordinary differentiation. So is this equation correct and solvable? Thanks Devismita Panda

@ProfSivakumarRajagopalan 3 жыл бұрын

(1) Yes, finally it is non-holonomic if any one of the constraints is non-holonomic. (2) The LHS is the gradient of the scalar potential. Negative is arbitrary or not necessary. The potential is generally known such as that of gravity. Or, in other cases, the applied force is known and in that case there is no partial derivative. Therefore, finally, we only have 2nd order ODE which is solvable.

@devismitapanda3252 3 жыл бұрын

Clarified. Thank you, sir.

@adwaitm6871 2 жыл бұрын

Thank you, sir.

@krushnachandrashankhua637 3 жыл бұрын

Nice lecture sir👍

@ProfSivakumarRajagopalan 3 жыл бұрын

Thank you. Keep watching and share with your friends.

@emayavank7983 2 жыл бұрын

Thank you sir!

@abhijitsethi9792 2 жыл бұрын

Thanks a lot sir

@V15H4L_4RJUN 2 жыл бұрын

Thank you sir !!

@minam__mm 2 жыл бұрын

Thank you sir.

@shubhamjadhav8259 Жыл бұрын

This is way to teach classical mechanics

@MuhammadIsmail-oj3sj 3 жыл бұрын

Great lecture Sir also upload further lectures

@MuhammadIsmail-oj3sj 3 жыл бұрын

Sir new lecture kb upload hoga?

@ProfSivakumarRajagopalan 3 жыл бұрын

In a day or two.

@vishwa9713 2 жыл бұрын

Thank you sir...

@pratyushmohanty6185 2 жыл бұрын

Thanks sir 😊

@girisankar2474 2 жыл бұрын

Thank You Sir

@naincykiro2940 2 жыл бұрын

Thankyou Sir

@pranavbhaskaran5 3 жыл бұрын

I have a doubt. You said if the constraint is non holonomic,like an inequality,the problem cannot be solved and the d.o.f can't be reduced. But if i take the total differential of the non holonomic constraint,then 'some' non holonomic constraints can also be used to reduce the d.o.f right?

@nivedha3785 2 жыл бұрын

Thanks sir

@ansifhussainvk6404 2 жыл бұрын

Thank you sir 👍

@tusharverma1396 2 жыл бұрын

Thank you sir 🙏

@ProfSivakumarRajagopalan 2 жыл бұрын

All the best

@anjalim5135 2 жыл бұрын

thanku sir

@rajeshwarik3818 2 жыл бұрын

thank you for the detailed explanation Sir. Helps clear a lot of unanswered questions. At the start while explaining the function example, f(x,y,t), You said 'y' may be present as x * y^0, while t may be present as x + t*0, any particular reason why 'y' has to be multiplied and 't' added on the RHS ? Can we consider the example where we have (x * t^0 ) OR (x + y * 0)

@ProfSivakumarRajagopalan 2 жыл бұрын

Glad it helped. I have shown two ways to disappear the variables y and t. You are giving another way in which the same thing can be achieved. Any option is acceptable. So, you got the idea correctly.

@rajeshwarik3818 2 жыл бұрын

@@ProfSivakumarRajagopalan thank you sir

@asifalis9741 2 жыл бұрын

Clearly understood sir

@ProfSivakumarRajagopalan 2 жыл бұрын

Great. That's required to clear the GATE / NET exams.

@kumarivangapandla374 Жыл бұрын

Tq sir🙏🙏🙏🙏🙏🙏🙏

@amudhanm2699 2 жыл бұрын

Amudhan M Thanks sir

@aliahayathayat6260 Жыл бұрын

Gold stein book pdf ... where I get?

@mrinmoymandal2695 3 жыл бұрын

Sir, please complete 3-4 chapters of Goldstein book. Because you are covering the concepts with very lucidity. If you have any paid course on classical mech let me know

@ProfSivakumarRajagopalan 3 жыл бұрын

Hello, I have already uploaded the lectures covering four chapters of Goldstein in the last semester. kzfaq.info/sun/PLtUBquogGkRukyAAWOmq2LmQx8Yf9H_3E I am not offering any paid courses. All my uploads to KZfaq are for free.

@mrinmoymandal2695 3 жыл бұрын

@@ProfSivakumarRajagopalan thank you professor, One more request if you solve some numerical of csir net gate it will be easy to understand

@ProfSivakumarRajagopalan 3 жыл бұрын

I will try to do problem solving in the next semester because first I wanted to complete the foundation theory.

@jatinsharma3616 Жыл бұрын

Honorable sir pls teach in hindi language also.

@nemakalmanas5073 11 ай бұрын

Sir, Why holonomic constraint's equation should not involve velocity ?

@ProfSivakumarRajagopalan 11 ай бұрын

Velocity means time derivative of position. So, equation containing velocity means a differential equation, which cannot be solved without an initial condition. Hence they are classified separately as velocity dependent potential problems, which may or may not be solvable depending on the nature of the physical problem.

@nemakalmanas5073 11 ай бұрын

@@ProfSivakumarRajagopalan thank you sir

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Joel Jeevan 1st msc physics

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@azhagendhiranshran2754 2 жыл бұрын

Sir plz send gold stein book pdf form

@ProfSivakumarRajagopalan 2 жыл бұрын

Hello, I have the printed book of Goldstein. For electronic copy, may be you have to google search. Thank you for your interest.

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@Jhaashish.004 10 ай бұрын

Sir bohoot kheech dete ho ek hi cheez ko please be precised and to the point i get totally bored and feeling like same thing you are telling again and again and just extended the lecture