Ch 01 -- Problem 04 -- Classical Mechanics Solutions -- Goldstein
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- Опубліковано 20 вер 2024
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In this video we are going to find out if a differential equation of constraint is integrable (and then holonomic) or not. Problem 4 -- Chapter 1 (Classical Mechanics by Goldstein).
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Goldstein Classical Mechanics Solutions (Playlist): bit.ly/3DbLXPh
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Excelent video. But I have a question: the derivative of sin theta related to theta is cos theta . Why you say is cero? Thank you for your answer!
Hello @eduardo Hernandez! Thanks for your comment! Very glad to hear that. Concerning your point, the issue is that del f/del theta equals to 0 (the previous result shown on the same slide). Then "a" and "f" are constants with respect to theta. The right hand side of the equation is also zero, because del G / del theta is zero. Then, for any values of theta, f must be zero, because as the last result shows: f multiplied by cos theta is always zero. Please let me know if I could clarify it. Thanks.
By the way, @eduardo Hernandez, the new videos in English will be published on the new channel: ua-cam.com/channels/Ad7x0CVNq83KkIlCsDqW_Q.html
@@ProfessorRicardoExplains thank you ! You read my mind, because I was really thinking about it . But Now the question is not when you were going to upload new videos from Goldstein but where are them. Im kidding! Any way thank you pretty much!
@@ProfessorRicardoExplains Hello, let me tell you that you' re right! In the minute 5:34 you say There is not differential of theta. AND that's the reason delG, del theta is cero. Now I understand. Thank you so much for your answer. I was studying the first three exercises of the chapter 1 , and I learned everything without doubts. Now I can add the exercise 4 . I can continúe with the next!
Excelent job professor! Congratulations!
@eduardo Hernandez Thank you! Glad to hear that. Any suggestion for new videos, let me know! Are you having classes on Classical Mechanics?
Thanks for solving this problem. I kinda figured it out, but I was not entirely sure with my approach. Now, I know I was right.
thanks for the video.
You're welcome @meheruna minu! Thanks for your comment
Thanks sir! :D It helped a lot.
@Cosmophile
Glad to hear that!
@@ProfessorRicardoExplains Thanks for reply Professor! Sir it would be a great help if you can help us with the solutions of latter chapters of Goldstein mechanics, thanks a lot!
haste el problema 14 capitulo 3 del goldstein sino te mando la moto
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ce é br amegah?
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