I can't quite picture in my mind what you are asking, so I will draw a figure in paint and see if it is the situation you are trying to describe.
and here we go:

This is actually a diagram for a sort of time machine. If as you say the materials are very durable, then one could accelerate the stick to near light speed using huge motors at either end of the stick pointing in opposite directions. Since it is out in space, the drag on the mechanism would be very slight, so once accelerated, it would stay accelerated until something hit it. So what you do is put a put a person in one end of the stick with enough provisions and entertainment for whatever duration he wants, and start the device spinning. Inside, the amount of time the person experienced would be drastically shortened, while those on the outside wouldn't notice much. Of course you'd have to accelerate it slowly, or the "time traveled" person inside would arrive as a mass of jello. And the motors would have to fire exactly evenly or the entire device could wind up spinning uncontrollably through space. The merry-go-round from hell.

As for the arc of one end traveling faster than the speed of light, i don't know if that is possible because you'd have to have motors with an infinite energy source, which would increase the size of the device infinitely, so you'd have to have another infinite energy source to accelerate the infinite energy source, ect ect ect.
This post was edited by Dr_zoidberg71 on Jan 9 2009 06:01am