  A mechanism for circumventing the Mayo-Bekenstein no-hair theorem allows
endowing four dimensional $(D=4)$ asymptotically flat, spherical,
electro-vacuum black holes with a minimally coupled $U(1)$-gauged scalar field
profile: $Q$-$hair$. The scalar field must be massive, self-interacting and
obey a {\it resonance condition} at the threshold of (charged) superradiance.
We establish generality for this mechanism by endowing three different types of
static black objects with scalar hair, within a $D=5$ Einstein-Maxwell-gauged
scalar field model: asymptotically flat black holes and black rings; and black
strings which asymptote to a Kaluza-Klein vacuum. These $D=5$ $Q$-hairy black
objects share many of the features of their $D=4$ counterparts. In particular,
the scalar field is subject to a resonance condition and possesses a $Q$-ball
type potential. For the static black ring, the charged scalar hair can balance
it, yielding solutions that are singularity free on and outside the horizon.
