- #1
Creator
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The real question here is what is the determining factor to have a nonholonomic system?
A rattleback shape is symmetrical (at least in one direction)...is there a shape asymmetry that causes it to preferentially rotate clockwise and avoid the counter-clockwise direction.
Spin it counter clockwise and it will reverse directions and spin the opposite. Even if you tip the edge of it it will always rotate counterclock.
More theoretically, since it doesn't conserve angular momentum, (but does conserve energy) could it be said that the classical Hamiltonian that describes it is incomplete.
Pragmatically, Is a shape anisoptrophy necessary for anholonomic behavior.??
I think it also must have a velocity dependent constraint that is not positionally related.
Someone help me fill in the blanks for such amazing behavior. Give it to me in the dumbed down version.
...
A rattleback shape is symmetrical (at least in one direction)...is there a shape asymmetry that causes it to preferentially rotate clockwise and avoid the counter-clockwise direction.
Spin it counter clockwise and it will reverse directions and spin the opposite. Even if you tip the edge of it it will always rotate counterclock.
More theoretically, since it doesn't conserve angular momentum, (but does conserve energy) could it be said that the classical Hamiltonian that describes it is incomplete.
Pragmatically, Is a shape anisoptrophy necessary for anholonomic behavior.??
I think it also must have a velocity dependent constraint that is not positionally related.
Someone help me fill in the blanks for such amazing behavior. Give it to me in the dumbed down version.
...