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Math Help - using initial conditions

  1. #1
    MHF Contributor
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    using initial conditions

    i cant see how they got X and Y expressions
    V_x is the derivative of X(t) by t
    'A' and phi are needed to be found
    but when i dont know how to innpur the initial condition to find A_x and A_y
    because when we integrate x' expression bot sides i get
    x(t)-x(0)=[A_x*cos(wt+phi)]/w - [A_x*cos(0+phi)]/w
    so i cant put 'b' instead of x(0) but it doesnt give me A_x parameter value
    Last edited by transgalactic; March 16th 2011 at 12:28 PM.
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  2. #2
    MHF Contributor
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    if you are confuswsed with the simbols thev
    v_x=x(t)'
    v_y=y(t)'
    tell me if you cant understand some simbol translation
    its all differential equations
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  3. #3
    Senior Member
    Joined
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    To my opinion w_c in not correct.
    And y(t) not satisfies initial contition.

    At first you must get final expressions of v_x, \ v_y and
    then integrate using initial contitions x(0), \ y(0)..

    There are 4 unknown variables in v_x, \ v_y and
    from initial conditions are 2 given. Additional may be obtained
    from conservation laws.
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