The coupling between the rotational and shape degrees of freedom in so
ft nuclei is studied using a constrained time-dependent Hartree-Fock a
pproach. The dynamical equations an derived using the time-dependent v
ariational principle on a restricted trial manifold consisting of cran
ked squeezed states. This procedure is applied to describe the low-lyi
ng isovector magnetic excitations observed recently in the gamma-soft
nucleus Ba-134. The role of shape softness in the fragmentation mechan
ism of the low-lying M1 strength is emphasized.