  We developed a discrete two-dimensional model of a cantilever which
incorporates the effects of inhomogeneity, the geometry of an attached
particle, and the influence of external time-dependent forces. We provide a
comparison between the solutions for our discrete model and its continuous
limit. The rotational-vibrational mode is studied in detail. The results of
numerical simulations demonstrate usefulness of our model for many applications
when a cantilever has a complicated geometry and is affected by time-depended
and distributed external forces.
