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Harmonic motion, finding analytic expressions for constants

  1. Nov 21, 2009 #1
    1. Find analytic expressions for the arbitrary constants A and phi in Equation 1 (found in Part A) in terms of the constants C and S in Equation 2 (found in Part B), which are now considered as given parameters.
    Express the amplitude A and phase phi (separated by a comma) in terms of C and S.




    2. x(t) = Acos(omega*t + phi_
    x(t) = Ccos(omega*t) + Ssin(omega*t)




    3. I have found the following:

    C = Acos(phi)
    S = -Asin(phi)
    C^2 + S^2 = A^2

    And I am lost at this point.
     
  2. jcsd
  3. Nov 21, 2009 #2
    Nevermind, I figured it out.
     
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