Тёмный

Rigid Body Motion and the Dzhanibekov Effect 

Physics Unsimplified
Подписаться 6 тыс.
Просмотров 29 тыс.
50% 1

I give an intuitive explanation of the Dzhanibekov effect on a rotating rigid body, and discuss its relationship with the intermediate axis theorem.
Simulations were created using glowscript (glowscript.org), developed by David Scherer and Bruce Sherwood.
The simulations are based on the Lagrangian equations of motion for a simple rigid body. I will present the mathematical details in an accompanying video.
Thanks to Derek Muller (Veritasium) and Matt Parker (Stand-up Maths) for permission to use clips from their videos.

Опубликовано:

 

11 сен 2024

Поделиться:

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист
Посмотреть позже
Комментарии : 78   
@StellaLotus
@StellaLotus 3 месяца назад
Brilliant and certainly facinating!! I enjoy this video and the excellent explanation, description and awesome visual example of the Dzhanibekov effect.
@AK56fire
@AK56fire 4 года назад
Incredible... I appreciate the effort you've put into making such a detailed video... Keep'em coming.. It's great work..
@PhysicsUnsimplified
@PhysicsUnsimplified 4 года назад
Thank you Amit...
@MrLikeAsatellite
@MrLikeAsatellite 3 года назад
This is so far the best explanation for the effect I have found, still challenging the viewer with some brainwork though. What bothers me the most with other videos is the permanent use of weirdly shaped nuts, bolts, tennis rackets or other objects which completely obstructs the inner workings.
@vitalxs2947
@vitalxs2947 Год назад
I am no physicist, or scientist, but it appears to me that this all have to with 2 things: Symmetry and Asymmetry. Assymetry makes objects uneven in terms of its weight, in relation to the center of the object. This weight and shape difference will make object to be off balance, relative to its center, even if balance can be found at some other point of the object. Therefore, asymmetric objects, when rotated, will always shift balance to the center of the object, and by doing it will create the unbalance, which rotating object then would attempt to compensate for (the missing symmetry), by temporary flipping the asymmetric part to the side that is missing it, then the balance is briefly restored before it again gets out of balance compare to its center, but now on the other side, and then it flips back, thus creating a cycle, that is controlled by the speed of object rotation, and that depend on the distance between the center of the symmetric portion of the object, and assymetric portion. The assymetric part of the object is the portion that begins where symmetric portion ends. So, I think if the object is symmetrical, and is rotating along its center, no flipping would occur.
@ryan_6984
@ryan_6984 3 года назад
Very very good. When I did my Degree in Physics I gained knowledge of rotational motion but not an understanding. I was very interested in the Earth's magnetic polar shifts that happen and I think this is a fundamental part of the explanation for that.
@davruck1
@davruck1 3 года назад
I just got back into classical physics. So much cool stuff that I think gets overlooked by everyone wanting to publish jaw dropping theoretical physics papers and talk all about relatively meaningless things like spacetime getting ripped. I’m also an engineer so I prefer stuff I can actually measure and see. I’m in civil engineering so calculating moments of inertia was part of our life.
@georgefan2977
@georgefan2977 3 года назад
That is exactly what I thought. A small disturbance (where the spinning axis is not completely perpendicular to our frame of reference, resulting in a irregular distribution of mass) causes this periodic motion of instability. The other videos did not mention this at all. Thank you so much!
@mufaddalkapasi1778
@mufaddalkapasi1778 3 года назад
What a wonderful explanation! I was unable to sleep for soo many days due to this doubt , thank you very much for clearing that. Keep up the good work👍 Awesome video👌
@PhysicsUnsimplified
@PhysicsUnsimplified 3 года назад
Thanks Mufaddal!
@comeraczy2483
@comeraczy2483 3 года назад
Thank you very much! I was very disappointed by the glaring gaps in Tao's/Veritasium "intuitive explanation". You brilliantly addressed these gaps and the visualisation offered by your simulations is excellent.
@pluspiping
@pluspiping 3 года назад
Makes perfect sense AND is beautiful to watch. I'll be coming back to watch this just for fun. Thanks!
@JohnGilmour
@JohnGilmour 3 года назад
The best explaination I have see to date. Thanks. I am almost there.
@user-dn5bx2iu3e
@user-dn5bx2iu3e 3 года назад
Brilliantly explained classical perspective. I'm inspired to try recreating the simulation to tweak its initial momentum, really elegant stuff. Thank you.
@meeklion
@meeklion Год назад
Great video!
@mike-synthetica
@mike-synthetica 9 месяцев назад
A fantastic explanation that makes things crystal clear. Thank you!
@kevinj5989
@kevinj5989 Год назад
The ancient literature of Earth contains MANY references to "the earth turned over", "north became south, and south became norht", "the sun rising in the west and setting in the East", and so on. One says, something like, "the sun reversed direction, rising in the west, etc, sometimes OBLIQUE," and so on. And there is a HUGE amount of evidence of giant floods in the geologic record, with a noticeable north-south bias (from gouges and rock trails and flood paths in the land). Could they be talking about the Dzhanibekov effect applied to Earth? Earth has a cataclysm every 12,000 years or so. Could you please say a few words on how the DBE might apply to the Earth? Thank you.
@original1up
@original1up 3 года назад
The analogy with the pendulum made it really clear
@TimAskerov
@TimAskerov Год назад
This is a very intutitive explanation/illustration of the complex physics in action. Thanks!
@melmcintyre3211
@melmcintyre3211 5 месяцев назад
Excellent work
@abhishah7139
@abhishah7139 4 года назад
You have provided the best explanation of the effect, far better than what Derek did. I would have liked it even more if you had spent more time on the simulation, different angles of rotation. I also still don't understand why when the red axis was at 80 degree at slow speed, the plane was not rotating at all. I would like to see a timelapse of it and if it's rotating along the y axis at all or not. You said it doesn't but I still don't understand why. If you could provide a site on which a noob can play around (without using math), I think it would be great. I have many more questions but I wouldn't bother you with that much! I really appreciate your efforts kind sir, and would be recommending to be pinned in the original video.
@PhysicsUnsimplified
@PhysicsUnsimplified 3 года назад
Thanks Abhi, If I recall correctly, you can't see the precession ( the rotation of the plane) in some of the video clips simply because the precession is too slow. That's why I made the one video clip with everything sped up, so you can see the precession of the plane quite clearly.
@undecidedmajor1664
@undecidedmajor1664 Год назад
Very intuitive. Excellent explanation
@corbinaquino
@corbinaquino 3 года назад
My physics background is quite elementary but I stumbled upon these concepts and I am really fascinated by them. I am interested in calculating how the angular velocity axis/vector moves as a function of time (relative to the object and also relative to the inertial frame). How would I go about learning the necessary concepts in order to calculate that? Thanks!
@birefringent2851
@birefringent2851 Год назад
Everything you need is in Landau & Lifshitz Volume I (Classical Mechanics)
@jaimeeoww
@jaimeeoww Год назад
this helps me understand a lot! thank you for explaining!
@NicleT
@NicleT 3 года назад
Absolutely beautiful and well demonstrated. However, I was curious to see the simulation with the “T” shape mass as in the space experiments of this effect, instead of two symmetrical sets of masses.
@Odisovic
@Odisovic 8 месяцев назад
And since the earth also does not have "uniform mass", the question is why in the video it rotates and the earth does not do this? Or is the pole swap actually the earth turning and the Mayan legend of us already being a third earth is linked to a catastrophe where when the earth turns (ala the matrix in space) then the mass of the oceans overflows and there is a great flood?
@5eurosenelsuelo
@5eurosenelsuelo Год назад
That's a nice video! Thanks and congratulations.
@Phelan666
@Phelan666 3 года назад
What are the implications for centrifugal "gravity" in space vehicles? Does this make it impossible, or is it possible to design around this effect?
@vladpavlov7341
@vladpavlov7341 3 месяца назад
хорошее видео- показывает как объект неправильной формы пытается найти равновесие и выбирает алгоритм поиска, но как только исчезает точка крепления, нивелирующая всё многообразие центров тяжести, возникает ХАОС, назовём его -Простейший хаос, потому что природа, в отличие от человека, всегда ищет простейший путь. и находит его, а человек , видя это, решает, что систематизировал ,, кувыркание,, предмета неправильной формы. Золотое сечение всем в помощь😎
@fcvgarcia
@fcvgarcia 2 года назад
Thanks for the excellent explanation!!!!
@evanrinehart
@evanrinehart 2 года назад
At 5:08 it appears as if the angular velocity (gold) begins aligned with angular momentum (blue) while not aligned with any principal axis. That seems inconsistent with L = Iω when there are three different principal moments of inertia. In the body fixed frame you could imagine L scaling non-uniformly along three axes wrt ω
@jaekyunglee5646
@jaekyunglee5646 10 месяцев назад
Thank you so much.
@markcoleman9892
@markcoleman9892 3 года назад
I watched your explanation immediately after the Veritasium video, courtesy of RU-vid's recommendations list. Both together is a good way to go! In the case of possible application to Earth's surface "rolling over" (there are too many ancient stories to ignore), one wonders what effects occur if an unpaired mass (A) is added to a spherical surface defined from the 4 initial masses (additional forces are transmitted via the "surface, which may be too complex for a "simple" demonstration)? How does that affect the rotational pattern? Then add another mass (B) such that the axis between A and B does NOT pass directly through the center of the spherical shape. I can visualize the setup, but my education is insufficient for predicting the behavior. [Gyroscope behavior in microgravity, as presented in NASA videos, is quite stable, but there is increasing evidence that Earth's interior layers are not as homogeneous as portrayed in the typical geology books, which makes the Dzhanibekov Effect far more possible.]
@omargaber3122
@omargaber3122 Год назад
Great and wonderful
@StevenDenenberg
@StevenDenenberg 5 месяцев назад
I have followed the equations and see why rotation around the intermediate access is “unstable “. But what I can’t find in the equations is why, as the body tumbles and flips and the red axis inverts, why does it apparently come to rest again until the small perturbations and the instability from Euler’s equations cause it to flip again. I don’t see where the equations indicates that there is a period of flipping and a pause in between flips. Any insight would be appreciated!
@kevinoboyle8939
@kevinoboyle8939 9 месяцев назад
Could this be exploited to create day night cycles on a space station? Is there a variation of the centrifugal force on the major axis?
@blinded6502
@blinded6502 Год назад
Have you taken a look at PGA (projective geometric algebra)? Rigidbody mechanics described in it's terms are quite elegant.
@SeanSpecker
@SeanSpecker Год назад
right .if you were to view a point two dimensionally along its trajectory like an occilating wave...what does the flip look like?
@mattrodgers7354
@mattrodgers7354 7 месяцев назад
So would it still do it if all 3 axis the same mass? Would it do it if it had 4 ends of equal weight?
@TeranceHealy
@TeranceHealy 2 месяца назад
Well explained. If you take the cyan to be the equator and the red to be the north and south poles, , based on mass one axis heavier than the other, applying this rule to the earth, can you predict the period of time where the flip would occur. Does this e plain the Younger Dryas and the cataclysm described in the book ADAM & EVE? It would also seem to suggest that there could have been previous civilizations on the earth which have been completely wiped away. Exceptions being the pyramids and the Richat structure where seems remarkably precise measurements for the foundation of the city of Atlantis. Would we feel the earth wobble as the poles moved while the impending flip approached?
@MrSyedbasit
@MrSyedbasit 9 месяцев назад
Why they ‘red masses’ switch positions at fixed intervals of time not continuously
@brianmackey3949
@brianmackey3949 6 месяцев назад
Zero gravity. Great. What about atmosphere and electromagnetic inputs? Would it be bumped less at absolute zero, in no air, in the dark, without magnetic waves?
@TheSatiah
@TheSatiah Год назад
That's so very cool 😎
@barada6820
@barada6820 3 года назад
You didn't fully explain what happens in the case of rotation around the smallest moment of inertia.
@ztac_dex
@ztac_dex 3 года назад
My GR prof used this perturbative approach and negating the higher ordered terms since it's the easiest to visualize and explain
@SeanSpecker
@SeanSpecker Год назад
so...can you demonstrate that the earth doesn't do this too?
@hassanabdullah6742
@hassanabdullah6742 7 месяцев назад
The earth is somewhat a sphere and it does not have that instability of moment.
@ltzhk
@ltzhk 6 месяцев назад
Earth is an asymmetric ellipsoid, not a perfect sphere, correct?
@Farooqueakhan
@Farooqueakhan 6 месяцев назад
Probably this is the effect, which causes the flipping of magnetic poles with respect to the geographical poles periodically. I hope the next video that the author of this video is going to share will go into the calculation of this period.
@ltzhk
@ltzhk 6 месяцев назад
@@Farooqueakhan it should be interesting to have a more detailed model. Earth's body of water, as well as the entire sphere, is not rigid, and under stress that might even contribute to the effect.
@ethandennis368
@ethandennis368 6 месяцев назад
Yes, the earth is an oblate spheroid spinning in its minimum energy state (maximum principal moment of inertia). This is a given even without our observations which show this, because things like the sloshing of water will dissipate enough energy over time to ensure that the earth goes towards its lowest energy spin state.
@surrealchronos4501
@surrealchronos4501 2 месяца назад
Why isn't this used to explain atomics theory, as the energy and electrons are more or less correctly alligned... I found if we change some views this is the level of small this might function on. The way I see it is as Molecules become larger the oscillation frequency gets larger.... It's not as though they are spinning physically but the atoms at that level always are? In a state of energy due to gravity! So what then and does anyone else think as I do? Interested to hear others opinion
@SeanSpecker
@SeanSpecker Год назад
that top teardrop of rotation is just like our precession on earth. bizaar. what do you make of that? that the earth DOES have 3 axis of rotation? so is this effect the reason behind our current precession of the equinox leading to the completion of the rotation before the flip. nonsense ideas i know but if i can think it then its possible. what do you think of this?
@rodolforamirezagredano5433
@rodolforamirezagredano5433 3 года назад
Estos son estudios técnicos muy interesantes para toda la jente muy buena programasion
@oddinvestigator
@oddinvestigator 3 года назад
very good video
@picroger4510
@picroger4510 3 года назад
Amazing.
@joshuatreeskincare6492
@joshuatreeskincare6492 5 месяцев назад
So, how does this apply to planet earth? Does our fossil fuel consumption warm and melt ice caps, redistributing mass? We see that the magnetic poles move throughout history, and there is talk of a great flood in every religion. The water would move independently…. And has significant momentum! What about how moving weight from the poles away from the primary axis will slow the rotation in that plane… and potentially increase the speed of the oscillations in the axis loosing weight (increasing potential for a rapid “flip”). This would defiantly be longer hotter days, and colder nights… more turbulence. Could that influence our magnetic flux of the planet? Could a change in flux affect the fluidity of the magma (a ferro fluid) that our continents are floating on?
@michaelteran3844
@michaelteran3844 Год назад
the reason for these experiments in space were to determine how our Earth is spinning object with lopsided weight will flip the Earth over like it has done many times in Earth's history! We are in for a hell of a ride once again. Oh yeah I forgot to mention that the sun will micronova triggering the flip.
@jaydenwilson9522
@jaydenwilson9522 Месяц назад
Do you happen to have an INTUITIVE explanation for the Intermediate Axis Theorem? Feynman said "No." And my teacher and Einstein always said that if they can't explain it in common sense terms to the laypersons then chances are that they don't know what they are talking about.
@onderozenc4470
@onderozenc4470 3 года назад
In my opinion, this phenomenon is no different than the "helicopter effect". In helicopters, when the main propeller rotates it processes around the rotational axis at the same time which creates a torque T=dL/dt = L x W where "L" corresponds to the angular momentum of the propeller, "W" represents the precession angular velocity which is almost the same as the angular velocity of the propeller. This torque is in the nose to tail direction on the helicopter and this is why they install a tail propeller which has to spin faster than the main one because of its smaller inertial moment to create an equal opposite torque induced by the precession of the main propeller. This is owing to this reverse torque created by the tail propeller , helicopters don't flip around.
@thelukeewan7602
@thelukeewan7602 7 месяцев назад
The beautiful minds commenting here light my fire
@johnnemo4146
@johnnemo4146 3 года назад
I'm not a physicist or mathematician, nor having to do with anything mechanical, but what I find immediately problematic is the "instable equilibrium position", which should be analogous to the one of the pendulum, when it is not obvious at all, because what stabilizes it in the Dzhanibekov effect is the rotation. The same rotation which takes it out of equilibrium at 8:14. So why does it stabilise it? Perhaps because the axis of the small masses is linked to the rotation of the big masses, creating a gyroscopic stabilization (that point should be further analyzed). But why does it go out of stabilization then. It seems to me that the phenomenon is caused by small mass asymmetries of the big masses, or generally, along the axis of the big masses, which make the real rotation axis not perfectly centered in the physical axis of the object. The two axes are misaligned! In the case of a T-shaped object like in this video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-1VPfZ_XzisU.html at 5:16, that would mean a small asymmetry in the masses projected from the rotation axis, causes the physical axis of the object to be misaligned with the real axis of rotation. This misalignment of the real axis of rotation and the real physical axis of the object, would be the cause of the phenomenon, in my (very quickly brushed) view.
@johnnemo4146
@johnnemo4146 3 года назад
The flip should happen and stabilize gyroscopically until the basic misalignment position, and then resume out of it... Hmmm...
@bgold2007
@bgold2007 2 месяца назад
So called yellow color impossible to see
@mikedl1105
@mikedl1105 4 месяца назад
Physics Girl and Rodney Mullen taught me this first
@slowquik
@slowquik 11 месяцев назад
Will it ever happen to Earth?
@adambzdak
@adambzdak 2 года назад
One can levitate objects using the air stream and nicely observe the Dzhanibekov effect. See ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-MobMsLvGiLs.html and this one ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-fmigHHa9T_E.html for a more detailed discussion.
@harthouser5177
@harthouser5177 Год назад
And a moon is orbiting this.
@SeanSpecker
@SeanSpecker Год назад
hope you get my simple minded reasoning.
@robertfowler348
@robertfowler348 3 года назад
So why does a phenomenon known and undeerstood for at least 150 years and appearing in text books for at lesat 115 years, e.g., Whittaker's Analytical Dynamics (1904) get renamed for a Russian cosmonaut? Is it because everything that happened before the Internet can safely be claimed to be invented anew?
@A.Dajlida
@A.Dajlida 2 года назад
The 'tennis racket' bullshit explains nothing, and was obviously created to lead astray from the real Djanibekov effect. What real Djanibekov effect shows is that the spin (as seen by observer) is kept the same. That is, the spin of the nut ITSELF is changed to opposite with each flip. This effect evidently shows that in rotation, spin is kept not by material body but by ether.
@frankcorr6566
@frankcorr6566 2 года назад
I tried running this in Glowscript and it stopped unexpectedly. There are very few facilities in Glowscript for debugging so I installed Microsoft Visual code as described here . ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-iExZsyAYK6o.html . It was stopping because it was not recognizing the 'else if' at line 90. The program is read only so I took a copy and ran it in my own space. Simply changing 'else if' to elif on line 90 makes it work. This is a tremendous piece of work.
@JohnGilmour
@JohnGilmour 3 года назад
I think the Earth is in trouble but nothing new.
Далее
The Bizarre Behavior of Rotating Bodies
14:49
Просмотров 13 млн
Дежавю, прескевю и жамевю!
00:59
БЕЛКА РОЖАЕТ?#cat
00:28
Просмотров 132 тыс.
The Mystery of Gyroscopic Motion: How Does It Do That?
26:41
The Most Mind-Blowing Aspect of Circular Motion
18:35
Просмотров 700 тыс.
A new way to visualize General Relativity
11:33
Просмотров 3 млн
Ellipsoids and The Bizarre Behaviour of Rotating Bodies
25:34
The Most Misunderstood Concept in Physics
27:15
Просмотров 14 млн
NASA's Helical Engine and Other Reactionless Drives
16:05
Bell's Theorem: The Quantum Venn Diagram Paradox
17:35
Gyroscopes in space
1:19
Просмотров 236 тыс.