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I don't understand the falling cat problem:
http://en.m.wikipedia.org/wiki/Falling_cat_problem
I guess the angular momentum being conserved makes sense. Does the cat have rotational energy though?
It seems to me that going from inverted (180 degrees) to upright (0 degrees) is a change in rotational position: theta (180) - theta (0) = 180 degrees. From rotational kinematics, we can determine the angular velocity of the cat during the inversion and we can also determine the angular acceleration. Hence the cat has rotational kinetic energy. I assume that energy comes from the chemical energy of the cats muscles. Is that right?
But the cat can keep doing this over and over. We could build an electronic cat which could start with 0 angular momentum and then spin 100 times a second. It seems odd to say, "No, that rapidly spinning cat has no angular momentum." Does it have angular kinetic energy? You can have angular kinetic energy and no angular momentum?
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>>8557448
I solved the problem. Cats land on their feet because they change their shape.
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>>8557473
So when they change their shape and invert themselves, do they have angular momentum during the process? Do they have rotational kinetic energy?
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>>8557483
what....is your point...
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>>8557483
" how a free-falling body (cat) can change its orientation such that it is able to right itself as it falls to land on its feet"
what about newton's third law, also aerodinamics and tails
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>>8557448
Of course it has angular momentul. It's spinning for fuck sake, you apply torque it stops.Cat is acting like a gyroscope
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>>8557448
also use global and local notation when talking about forces
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>>8557448
They can generate as much 'counter torque' as they want with their tails.
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>>8557448
The issue is that you shouldn't rely on results from rigid body motion when considering the motion of deformable bodies. Look at the end of chapter 3 here: http://www.damtp.cam.ac.uk/user/tong/dynamics.html
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Until the cat is observed in its final resting state, it exists in a superposition of both the up state and down states at the same time.
The relative probabilities govern the cat's "spin statistics", which manifests itself as uncertainty in the observation of its angular frequency.
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The cat is able to dislocate its internal organs from its outer furry shell so that they rotate in opposite directions to conserve momentum and energy while inverting just its outer shell that is visible.
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It seems like you faggots still live in pre-internet era:
https://www.youtube.com/watch?v=RtWbpyjJqrU
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