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Math Help - resonance?

  1. #1
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    resonance?

    What is resonance? How do I approach this question?

    2x" + 36x = sin(wt)
    a) For what values of w will the system exhibit resonance?
    b) Use the method of undetermined coefficients to find a particular solution in the case where w is not the resonant frequency.
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  2. #2
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    Quote Originally Posted by lord12 View Post
    What is resonance? How do I approach this question?

    2x" + 36x = sin(wt)
    a) For what values of w will the system exhibit resonance?
    b) Use the method of undetermined coefficients to find a particular solution in the case where w is not the resonant frequency.
    Resonance occurs when the natural frequency of the system is the same as the forced frequency.

    So start by solving 2x" + 36x = 0. Can you do this?
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