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A Is this constraint nonholonomic or not?

  1. Jul 31, 2016 #1

    I really want to know whether this equation is nonholonomic or not.

    (As far as I know, Nonholonomic constraint has a term of velocity and do non-integrable. But this formula does not dependent on a path, because it is a total differential form.)
  2. jcsd
  3. Aug 1, 2016 #2


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    It is nonholonomic, for the reason you gave. Note that the second part of the constraint ##df=\frac{\partial f}{\partial q}dq + \frac{\partial f}{\partial q'}dq'+\frac{\partial f}{\partial t}dt=0## is redundant, as it follows from the first constraint.
  4. May 19, 2017 #3
    Sorry for digging up old story but the correct answer on OP's question is as follows: it depends on the function ##f##. For example, if ##f=\dot x## then the constraint is holonomic; if ##f=\dot x+y\dot z## the the constraint is nonholonomic.
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