Years ago I did this for a wireline spooler application for an oilfield company. I simply modelled it in AutoCad and varied the position of the sub component equipment based on the wireline tension. This output was used to check my computations for the geometry model.
You can also apply the methods of three-four bar linkages to come up with the same result, then model that in some software package to validate your computations. Same-same as what I did.
Good luck with it.
Kenneth J Hueston, PEng
Principal
Sturni-Hueston Engineering Inc
Edmonton, Alberta Canada