  The problem of a suspended rope wrapped around a fixed cylinder is studied.
If the suspension force is larger than a certain threshold (which is larger
than the weight of the rope), the rope would remain tightly wrapped around the
cylinder. For suspension forces smaller than that threshold but larger than
another threshold, the rope becomes loose (loses contact with the cylinder) at
some points, but still remains at rest. Theses thresholds are obtained when
there is no friction. The system is then analyzed also with friction, and the
threshold of tight-wrapping is obtained for that case as well.
