  This work explores a simple model of a slender, flexible structure in a
uniform flow, providing analytical solutions for the translating, axially
flowing equilibria of strings subjected to a uniform body force and drag forces
linear in the velocities. The classical catenaries are extended to a
five-parameter family of curves. A sixth parameter affects the tension in the
curves. Generic configurations are planar, represented by a single first order
equation for the tangential angle. The effects of varying parameters on
representative shapes, orbits in angle-curvature space, and stress
distributions are shown. As limiting cases, the solutions include
configurations corresponding to "lariat chains" and the towing, reeling, and
sedimentation of flexible cables in a highly viscous fluid. Regions of
parameter space corresponding to infinitely long, semi-infinite, and finite
length curves are delineated. Almost all curves subtend an angle less than
$\pi$ radians, but curious special cases with doubled or infinite range occur
on the borders between regions. Separate transitions in the tension behavior,
and counterintuitive results regarding finite towing tensions for infinitely
long cables, are presented. Several physically inspired boundary value problems
are solved and discussed.
