Modeling A Cable and Pulleys?

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I'm designing a cable-operated throttle. Rather than using simple circular pulleys, they need to be essentially cams, to provide a non-linear response. Life would be soooooo much easier if there were some way of creating a movable model of two pulleys and the cable, and have the ability to measure how the output motions changes in response to input motion.
Is this even possible? I can see how to get at least part-way there by replacing the cable with a simple arm that is constrained to be tangent to the two pulleys, but I'm hoping there is a much better way to do it. In an ideal world, i'd even like to be able to model even more complex systems, with 3-4 pulleys and a single cable passing over all of them, but I'd settle for just 2.
Regards,
Ray L.