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Fixed rope, fourier

  1. Apr 20, 2013 #1
    1. The problem statement, all variables and given/known data
    A rope of length L, linear density u is streched with tension T between a wall and a ring of negligible mass free to move vertically along a rod without friction. As the ring is maintained at y=0, we give to the rod a y(x,t=0) = sin(πx/L) form. We release the ring and the rope at t=0.

    Give the complete expression of motion of the rope in function of t in term of its Fourier components.

    2. Relevant equations

    3. The attempt at a solution
    I'm really lost, I don't know from where I have to start.
    Since it must be symetric around the point x=0 so Bn=0 and anti-symetric around x=L so An=0
    I have to do the work twice and add them ? And integrate from 0 to the period P=4L ?

  2. jcsd
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