  The coupled dynamics of the scissors mode and the isovector giant quadrupole
resonance is studied in a model with separable quadrupole-quadrupole residual
interactions. The method of Wigner function moments is applied to derive the
dynamical equations for angular momentum and quadrupole moment. Analytical
expressions for energies, B(M1)- and B(E2)-values, sum rules and flow-patterns
of both modes are found for arbitrary values of the deformation parameter. Some
predictions for the case of superdeformation are given. The subtle nature of
the phenomenon and its peculiarities are clarified.
