How long of a piece do you need to rip?
The trick is going to be clamping it well enough so that it doesn't roll/veer/pinch/bind/make you sad. If it's a short section, you can grab it in a drill press vice if you have one to give you something to hold onto, and keep it from spinning. If it it's a longer piece, you will probably have to set up a jig to get a decent cut. Maybe a couple 2x4s with 1"holes through. Put one on either side of the blade, and clamp to the table?
At one point I recall seeing a jig for doing this for wooden dowels, but I can't seem to find it on youtube.
DMS