  It is known that a non-Abelian magnetic monopole cannot rotate globally
(although it may possess a nonzero angular momentum density). At the same time,
the total angular momentum of a magnetic dipole equals the electric charge. In
this work we question the generality of these results by considering a number
of generalizations of the Georgi-Glashow model. We study two different types of
finite energy, regular configurations: solutions with net magnetic charge and
monopole-antimonopole pairs with zero net magnetic charge. These configurations
are endowed with an electric charge and carry also a nonvanishing angular
momentum density. However, we argue that the qualitative results found in the
Georgi-Glashow model are generic and thus a magnetic monopole cannot spin as
long as the matter fields feature the usual "monopole" asymptotic behaviour
independently of the dynamics of the model. A study of the properties of the
dyons and magnetic dipoles in some generalizations of the Georgi-Glashow model
supplemented with higher order Skyrme-like terms in the gauge curvature and
Higgs fields is given quantitatively.
