  We study the issue of description of spinning particle dynamics by means of
recently proposed world sheet concept. A model of irreducible spinning particle
in the $3d$ Minkowski space with two gauge symmetries is considered. The
classical trajectories of free particle lie on a circular cylinder with a
time-like axis. The direction of cylinder axis is determined by the particle
momentum, and its position in space-time depends on the value of total angular
momentum. The radius of cylinder is determined by the representation. The model
admits inclusion of consistent interactions with a general (not necessarily
uniform) electromagnetic field. The classical trajectories of the particle lie
on the cylindrical hypersurface in space time, whose position is determined by
the initial values of the momentum and total angular momentum. All the world
paths that lie on one and the same representative in the set of hypersufaces
are connected by gauge transformations. The general construction is illustrated
by the example of unform electric field. In this case, the particle paths are
shown to be general pseudotoroidal lines.
