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Forced Oscillation Problem

  1. Nov 11, 2012 #1
    Determine the forced oscillation of a system under a force F(t) = at, if at time t = 0, the system is at rest in equilibrium (x = x' = 0)

    2. Equation of motion: x" + ω²x = at

    3. I've found the particular solution, but i just can't find the coeficients of the homogeneous solution ( x = a cos (wt+θ) or x = Acos(wt) + Bsin(wt) )...
  2. jcsd
  3. Nov 12, 2012 #2


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    You get the coefficients of the homogeneous solution by using the initial conditions: Both X=Acos(wt)+Bsin(wt)+Xp and X' are equal to 0 at t = 0.

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