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Bead on a Rotating Hoop - Constraints (Holonomic / Nonholonomic)

  1. Nov 1, 2012 #1
    1. The problem statement, all variables and given/known data
    We have a bead sliding with friction on a hoop oriented vertically. First the hoop rotates about its center with rotation axis perpendicular to its plane.

    Second, the hoop rotates about a vertical axis as well.
    In both of these cases, are the constraints holonomic or nonholonomic? Are the time dependent or independent?

    I think in both cases the constraints will be time-dependent. I am confused as to whether or not they will be holonomic / non-holonomic. I thought they would both be non-holonomic since friction is involved. Is this right?
     
  2. jcsd
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