AutoCAD Inventor :: Wire Going Around Sheave In Different Positions

I'm working on constructions that are operated with winches. However, I haven't found a way to model the wire so that it moves as it should.

I've attached a simplifed assembly that illustrates my issue.

In the "Master" position the wire looks as it should.

However, in the "Up" position, the wire does not. (red line indicates desired wire path)

I'm not interested in making the wire slack, just to have straight lines and radiuses around the sheave.

The actual constructions are much more complex, with 15+ sheaves and the wire moving in all three dimensions, not just in one plane as in the attached example. So a simple extrude cut on the assembly would not work.

I need the wire to work in the various set positions ("Master", "Up" & "Halfawy up") on an assebly level, so that it can be shown on drawings.

Optimally I'd love it to work in the "Flexible" position, so that it automatically adjusts (in real-time) as I move the rod, but it's not a requirement.

I've found multiple videos on Youtube showing something similar to what I want to accomplish, but no description of how it's done. Examples:

Inventor Simulation - Pulley and Cable.wmv

Winch - Autodesk Inventor (the wire being spooled onto the winch is not required, but it does look nice)