This is amazing! The first normal frequency corresponds to just a normal pendulum. ie. √(g/l) The second one also includes the effect of a spring too, the natural frequency of a spring with two masses = k/(m/2) here m/2 is the reduced mass. And the second normal mode is just √(g/l +2k/m) . Kind of the sum of a spring and simple pendulum. Brilliant lecture sir! Love this channel!
Amazing video. I am transfixed by the patient, clear, methodical process of solving such an elegant system. I am an engineer in process control theory, poles, zeros, PID, dead-time, stochastics and z-transforms. You have my respect, well done.
Dear Sir, when deriving the expression for potential energy, you only used extension of the spring in the x-axis only, why did you not include extension in y-axis?
for the extension of the spring, isn't there the extension from the y difference also? why are you applying only for x where the pendulum could be in different y? even so, i think your way still works since y in small oscillation almost never oscillate.
The first few minutes of the pendulum diagram animation is how positrons and electrons do NOT (always) annihilate in my growing Positronic Universe model.. Only an exactly opposite phase electron + positron annihilate (ie. those created as an entangled pair at exactly the same time, if they get close enough to each other)... Else a 'noton' forms.. -- A neutrino is an unquantised math fudge to balance erroneous charge energy equations, notons stabilise via the strong force as a tiny particle as it has no electrostatic charge field and the strong force bonds are as short as can be... Notons could be, and probably are less massive than electrons/positrons, even though they are made of one of each, as electrons and positrons have spin loops going in and out at the particle centre focal point, with radius stretching as far as the e-/p+ near electrostatic field... -- Protons are much more massive as the central electron (down quark) only half neutralises each Positron (up quark), so they repel each other, lengthening the strong force bonds (merged e- and p+ spin loops = magnetic field), increasing mass... This balances as well as QCD in a simpler manner.. my electrons and positrons have 6 ot 12 bond points, depending on the model version.. More is possible but ugly... 12 field cells surround 1 extra, free, mobile field cell (positron) or hole (electron)... It's a close packed Dirac Sea of +ve fuzzballs, with the bonus that field cells can break free, forming a vibrating positron + electron pair...
![Eminem - Like My Shit [Official Audio]](http://i.ytimg.com/vi/vx_IMvFkrfA/mqdefault.jpg)
Next Up - COUPLED OSCILLATORS (Spring mass systems)
ruclips.net/video/4WhrNjg3I_o/видео.html
Very few things are perfect around us like your explanation 🎩❤️
You sir should have 2 million followers. This stuff is awesome.
This is amazing!
The first normal frequency corresponds to just a normal pendulum. ie. √(g/l)
The second one also includes the effect of a spring too, the natural frequency of a spring with two masses = k/(m/2) here m/2 is the reduced mass. And the second normal mode is just √(g/l +2k/m) . Kind of the sum of a spring and simple pendulum.
Brilliant lecture sir! Love this channel!
Thank you very much .i never got this excited in any of my Physics class .. superbly explained 💓💓💓
Amazing video. I am transfixed by the patient, clear, methodical process of solving such an elegant system. I am an engineer in process control theory, poles, zeros, PID, dead-time, stochastics and z-transforms. You have my respect, well done.
I really enjoy how you explain in a very intuitive manner ,
Thanks for the video!
What a gem of a video and such an excellent presentation.....👌
Sir your explanation is great👍👏👏👏
Wow, great video, u are a great teacher
Sir, Great explanation. Please also tell about simulation software . Is this any simulation software ?
Always waited for your videos...plz make a video series of Quantum mechanics
Another amazing video. Thank you so much!
Superrb as usual👍👍👍❤️❤️
I look forward to your next video.
Loved your explanation sir.....very useful for our ug program
Very Good!!!!!!!
Sir...Small oscillations of connected pendulums is my project topic. Can u plz share the future work of this topic?
Fantastic :D
This is so neat.
Nice lecture
Dear Sir, when deriving the expression for potential energy, you only used extension of the spring in the x-axis only, why did you not include extension in y-axis?
Great presentation. Can you provide a screenshot of the entire Scilab program so we can play around with it a little? It cuts off pretty short..
Thank you for your efforts
Explanation is great 👌👌👌
sir aap kaun sa simulation use kar rahe hai
for the extension of the spring, isn't there the extension from the y difference also? why are you applying only for x where the pendulum could be in different y?
even so, i think your way still works since y in small oscillation almost never oscillate.
Wonderful
Sir Plz tell in eq 1 "K" is ppsitive butin eq 2 "K" is negative
What is its physical meaning
what software are you using for this?
what is the simulation software that used
Thanks sir 🙏🙏😊
Sir kindly make a video for cross section of nuclear scattering please
how did you consider determinant that's where I got struck .
Love you sir from pakistan...
Thanks sir
I wish I could study under you.. sir🔥
what is mean lagrangin
@23:54 why didnt sir used +- after resolving roots?
can't have negative frequency
Sir is coupled pendulum a part of jee syllabus
No, it's usually studied in Classical Mechanics, while discussing normal modes etc
@@FortheLoveofPhysics ok thanks I guessed so..
How do you get the determinant equation???
I know I am kind of late in replying but I believe it is because oscillatory motion is assumed with angular frequency omega.
👌👌
Who are You? How do you perform these simulations?
🤣
The first few minutes of the pendulum diagram animation is how positrons and electrons do NOT (always) annihilate in my growing Positronic Universe model.. Only an exactly opposite phase electron + positron annihilate (ie. those created as an entangled pair at exactly the same time, if they get close enough to each other)... Else a 'noton' forms..
--
A neutrino is an unquantised math fudge to balance erroneous charge energy equations, notons stabilise via the strong force as a tiny particle as it has no electrostatic charge field and the strong force bonds are as short as can be... Notons could be, and probably are less massive than electrons/positrons, even though they are made of one of each, as electrons and positrons have spin loops going in and out at the particle centre focal point, with radius stretching as far as the e-/p+ near electrostatic field...
--
Protons are much more massive as the central electron (down quark) only half neutralises each Positron (up quark), so they repel each other, lengthening the strong force bonds (merged e- and p+ spin loops = magnetic field), increasing mass... This balances as well as QCD in a simpler manner.. my electrons and positrons have 6 ot 12 bond points, depending on the model version.. More is possible but ugly... 12 field cells surround 1 extra, free, mobile field cell (positron) or hole (electron)... It's a close packed Dirac Sea of +ve fuzzballs, with the bonus that field cells can break free, forming a vibrating positron + electron pair...
"Class apart"
👏👏👏👏👏👏❤❤❤❤❤❤❤❤❤