  The stick-slip dynamics is considered from the nonlinear
differential-algebraic equation (DAE) point of view and the peeling dynamics is
shown to be a switching differential index DAE model. In the stick-slip regime
with bifurcations, the differential index can be arbitrarily high. The time
scale of the peeling velocity, the algebraic variable, in this regime is shown
to be exponentially faster compared to the angular velocity of the spool and/or
the stretch rate of the tape. A homogenization scheme for the peeling velocity
which is characterized by the bifurcations is discussed and is illustrated with
numerical examples.
