DD.3.3 Deep Dive - Gyroscopes - Nutation and Total Angular Momentum

Рет қаралды 10,765

7 жыл бұрын

MIT 8.01 Classical Mechanics, Fall 2016
View the complete course: ocw.mit.edu/8-01F16
Instructor: Prof. Deepto Chakrabarty
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
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Пікірлер: 13

@cjaoun23240 3 жыл бұрын

Amazing course. I enjoyed watching every single second of the playlist. Thank you MIT!

@Postermaestro 3 жыл бұрын

Great series!

@DavidMcMahon100 7 ай бұрын

Very clear presentation!

@brainstormingsharing1309 3 жыл бұрын

👍👍👍👍👍👍👍

@fm7490 10 ай бұрын

Why should angular momentum be conserved? Angular momentum is conserved when the net torque is zero, but in this case we have a non-zero torque due to gravity

@Jess-eh6pl 8 ай бұрын

The force of gravity is applied at the center of mass. As a result, it does not apply any torque, since the lever arm is zero.

@sandy-kd8ff 5 ай бұрын

@@Jess-eh6plhow the lever aram can be zero

@stephanfernand1163 2 ай бұрын

for the two vertical axes, the angular momentum is conserved, but for the horizontal axis, the magnitude is conserved, but the direction is modified by gravity

@ScientistRenzo 3 жыл бұрын

Oh my god I did it

@standowner6979 2 жыл бұрын

Congratulations. Now you can proceed to higher...

@jnhrtmn 5 жыл бұрын

The spin axis has nothing to do with it. Tilting a spin plane starts the effect by creating a momentum exchange at the fulcrum created in the tilting plane. There is no motion allowed at the fulcrum, and it cleans out momentum on each side. The fulcrum axis is the key to the effect, because it creates opposing forces to start precession, then precession is itself a second tilting effect combined with the original input tilt. This causes the fulcrum axis to migrate with the combined tilting effect, and this causes the fulcrum axis to rotate closer to the initial input tilt, and this produces forces that oppose the initial input tilt. Drop the math and think about it. Follow the actual input components of momentum. Rotational momentum is set, and does not change by tilting it.

@vishwasshankar3929 4 жыл бұрын

Sorry I could'nt follow. Can you explain the fulcrum axis part?

@jnhrtmn 4 жыл бұрын

@@vishwasshankar3929 I was going to merely describe it, but I recently developed the math that describes it as well. It is a paper that needs political momentum before it will get published. Angular momentum is a perfect analogy, but it is wrong, so an alternative right answer is not going to turn heads very easily. Everyone knows how a paradigm shift is supposed to be difficult, but they have no experience with it. This is your chance. I don't expect you to see it. It has been 15 years of trying to get scientists to see that a conservation law is not causal -it is a mnemonic device. Describing something with math does not mean that you understand it. But, if you can see my explanation, it is a mechanism and not a mnemonic device. The paper is here: papers.ssrn.com/sol3/papers.cfm?abstract_id=3587972 SSRN is an Elsevier site. They wouldn't publish my paper, but they invited me to post it as a shared unfinished work on their SSRN site. Sometimes the paper is hard to find. Search SSRN.com for Hartman gyroscope, if you don't trust the link.