All of these happen because of friction, which is a force that resists motion between two things. You almost certainly have experienced friction in your life, and probably thought of it as an annoyance, a necessary evil that we have to deal with.
When I "tighten" a knot I am using one part of the rope to apply a constricting pressure on another part of the rope (constriction is not allowed in your example). Friction-less doesn't bring with it un-compressible. If I can compress a friction-less rope enough, will that halt the motion?

As we can see from the illustration, No-Friction Knotting For Reliability In Motion has many fascinating aspects to explore.


As we can see from the illustration, No-Friction Knotting For Reliability In Motion has many fascinating aspects to explore.