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    ahmed2005's Avatar
    ahmed2005 Posts: 6, Reputation: 1
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    #1

    Mar 28, 2008, 09:00 AM
    Mechanical system
    Every mechanichal system is characterised by a definite function depending on the coordinates of each point of the system, the first time derivative of these coordinates, and time.
    What is the proof of this statement? Why only the only first derivative is included not the higher derivatives?
    Thank you
    Credendovidis's Avatar
    Credendovidis Posts: 1,593, Reputation: 66
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    #2

    Mar 28, 2008, 07:22 PM
    Quote Originally Posted by ahmed2005
    every mechanichal system is characterised by a definite function depending on the coordinates of each point of the system, the first time derivative of these coordinates, and time.
    what is the proof of this statement?. why only the only first derivative is included not the higher derivatives?
    thank you
    Isn't that a homework question?
    Think along the lines of "what else can characterize a mechanical system, other than the 4 known dimensions (height, width, length, and time) ?"
    Aren't higher derivatives based on combinations of first derivatives?
    ;)
    ahmed2005's Avatar
    ahmed2005 Posts: 6, Reputation: 1
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    #3

    Mar 29, 2008, 04:19 AM
    If higher derivatives based on combinations of first derivatives then no need to put first derivative in the formula because it is based on coordinates .I can not imagine that you believe it as soon as you see it I think that it needs a proof.Sure it is not a homework. This statement is the beginning of formulation of laws of motion using the least action principle in the book " acourse of theoretical physics vol. 1 by Landau and Lifz
    ahmed2005's Avatar
    ahmed2005 Posts: 6, Reputation: 1
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    #4

    Mar 29, 2008, 04:20 AM
    Quote Originally Posted by Credendovidis
    Isn't that a homework question?
    Think along the lines of "what else can characterize a mechanical system, other than the 4 known dimensions (height, width, length, and time) ?"
    Aren't higher derivatives based on combinations of first derivatives?
    ;)
    If higher derivatives based on combinations of first derivatives then no need to put first derivative in the formula because it is based on coordinates .I can not imagine that you believe it as soon as you see it I think that it needs a proof.Sure it is not a homework. This statement is the beginning of formulation of laws of motion using the least action principle in the book " acourse of theoretical physics vol. 1 by Landau and Lifz
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