Highschool Solution of Problem #165 - 2 Coupled Osc

Classic solution done in Lect 5 of 8.03, Cramer's Rule (Lect 6) at the very end.

[Hey_Ananyasingh]

Hello professor Walter lewin i am ananya Kumari I read in class 9 those who try never give up this question is i am about to here your another lecture 💐💐🥰

[misterdubity]

Great lecture. I was there taking 8.03 (room 2600 as I recall) in Fall, 1971. Thank you.

[thedigitaluniversity]

Great!! Why not provide the link in your description??

[rafaelpadilla]

Great addendum at the end of the video with original 1994 material! Such great lectures 🙌🙌🙌👍

[SurelyYouAreJokingMrFeynman]

I have been reading your book since a week, Sir. And it’s amazing !
Will be giving JEE ADVANCED this year, Need your blessings sir
Love from India ❤

[mplaw]

I like your lectures; and problem-example solutions. I have always had a love of Physics, hard as it can be. I don't give up!

[wouterdobbelaere]

Having the coupled pendulum doing its job in the background really tops this off! 😎

[ironfer]

Interesting detail that the results end up being the negative golden ratio and the inverse of the golden ratio.

[Wolf_Arin]

Two-pendula problem Figure 2.28 shows an extension of the invertedpendulum problem of Example 2.5 to the case of two pendula, moving in
parallel vertical planes about the same axis. The two bodies at the end of the
pendula have the same mass, m. The equilibrium point is easily determined,
on physical grounds, to be el = e2 = til = e2 = i = 0, F = 0, X = x*.
(As in Problem 2.17, the system can be in equilibrium for any x*.) The rods
have negligible mass. I need solution this pales I'm student

[SatishSharma-uvzb]

Sir I am a big fan of yours I really enjoyed your lectures I wanna ask you that how to solve physics questions

[מיכאלקונטרוביץ]

Hello Dear Walter. I have watched all your lectures, including the lectures 5 and 6 of 8.03. Because I am a mathematician with a Ph.D in pure math, with specialty in analysis, your explanations there and also here in the solution are very clear for me. But I want to ask a question, which is very deep to my opinion: what is the "critical" offset angle theta/two offset angles theta1 and theta2 for the two objects (in case of the two objects), whereby the tension T (in lecture 5) is no more approximately mg, so you can't apply the small angle approximation and you can't replace the sin function in the differential eqn by x/l and so on. So, the system now enters into the pure chaotic state, in which I think we can't solve analytically and we have to do numerical analysis. Also, what are the masses of the objects and offset angles and the velocities which take us to the moment before the permanent deformation of the spring and the breakdown of a Hook's law. Actually I can ask the same question about the single pendulum

[abhijaykashyap]

Sir, i have a doubt in emi that how a changing magnetic field produces an electric field??

[thegentleman]

Are u, sir, the best living physicist ?