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Math Help - Oscillations - Model Springs

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    Oscillations - Model Springs

    How do I express each force of teh following spring in vector form and show that the position of the block is l0-(mg/2k)sin(alpha))
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  2. #2
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    can some one please check I have this right?

    each force in vector form is (N=normal force), W= Weight, H = spring force):

    N=N.j

    W=(W.i).i + (w.j).j = - Wsin(alpha)i + Wcos(alpha)j

    H=-k(l-l0)s = -2k(x-l0)i (by hookes law)

    To get the equilibrium I just made N+W+H = 0 and collected terms in i. I also replaced W by mg to get the equilibrium condition as shown
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    Quote Originally Posted by moolimanj View Post
    can some one please check I have this right?

    each force in vector form is (N=normal force), W= Weight, H = spring force):

    N=N.j

    W=(W.i).i + (w.j).j = - Wsin(alpha)i + Wcos(alpha)j

    H=-k(l-l0)s = -2k(x-l0)i (by hookes law)

    To get the equilibrium I just made N+W+H = 0 and collected terms in i. I also replaced W by mg to get the equilibrium condition as shown
    That works, but make a distinction here:
    H=-k(l-l0)s = -2k(x-l0)i
    The k in the second term is not the same as the k in the last term, but you are using the same variable for it. Try
    H=-K(l-l0)s = -2k(x-l0)i
    or something.

    -Dan
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