I have never built anything with gears before, and I find myself needing to do just that. Given that I have very little background, I'm mostly looking to be pointed in the right direction.
The Task
I need to design and build a rotation stage that can both rotate freely in both directions, while simultaneously being able to be elevated through ~0.5 m. Both motions should be driven independently, and I cannot put a motor in the room the platform will live in. The motors need to be about 5 m away, in a different room, around several corners. So, I figured this sounds like a job for a drive shaft (or maybe belts/chains, although I am trying to avoid as much position uncertainty as possible). The actual power requirement is low --- no more than a few kg on the platform as it's being moved. Pardon the potato drawing.
The Problem
The problem I keep running into is how do I keep the rotational motion system working as the platform is moved through its full linear range. Doing either alone is straight forward --- bevel gears or a worm for the rotation, or a rack and pinion for the translation. My problem is getting them to be able to do both, without the translation uncoupling the rotation system.
Help
I can't imagine that this isn't a solved problem, somewhere. I just don't know where to look for the answer. I've put a few days into Googling and, while I am now much more comfortable with the types of gears out there, I haven't found anything that starts to explain how I should proceed with combining elements. Any resources people know that could help, or places to look at similar designs would be very helpful.