  The general method introduced in a previous paperto build up a class of
models invariant under generalization of Carroll and Galilei algebra is
extended to systems including a set of Grassmann variables describing the spin
degree of freedom. The models described here are based on a relativistic
supersymmetric algebra with vector and scalar generators (VSUSY) . Therefore,
in order to obtain dynamical systems consistent with Carroll or Galilei, we
will study the contractions of the anticommuting generators compatible with the
Poincar\'e contractions.
