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Old Oct 30th 2009, 11:41 AM   #1
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trouble with kinematics

i am not able to know how to use the euler's angles in my kinematics session..if anyone can help explain please..thank you
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Old Oct 30th 2009, 09:32 PM   #2
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Could you be more specific please?
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Old Oct 31st 2009, 05:21 AM   #3
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yeah sure..
in fact i am unable to understand how we choose the references in which the euler's angles are and what type of rotation each system does and how i can manage to find the velocity and acceleration in such 3D rotation!..if u could help
thank you a lot..
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Old Nov 3rd 2009, 08:55 AM   #4
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can anybody help please?..
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Old Nov 3rd 2009, 09:26 AM   #5
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wish i had a pen and paper.
still , see if this has anything useful(read it in penrose's book)
imagine a flat solid body in our familiar xy plane. first rotate about z axis through an angle alpha. so x and y axes also get shifted but remain in the same plane.(make these lines bold and rub previous ones)
now about new y axis (bold) rotate it by angle beta. now the plane gets tilted.(again rub previous ones and keep the axis about which rotation is done ,fixed)
do the same with the new bold z axis.(rub previous axes) by angle gamma, we get the final co ordinate system.represent each rotation by a matrix, product of the 3 matrices gives us the final direction cosines)
i found a treatment in a book called arfken and weber. if u want a complete prescription, that book is OK(but to me its a dangerous book- half the time i dont understand what is done )
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Old Nov 3rd 2009, 09:33 AM   #6
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thanks a lot ..this helped me know how to start and proceed..really thanks..
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Old Nov 3rd 2009, 09:46 AM   #7
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i dont know if u have done this already--
have a look at wolfram mathworld. give a search on euler angles there.
you can also wait for some other members. they can help u more.
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