GHORG
Not Welcome in The Netherlands
Posts: 1,143
Let's assume the conveyor belt and the plane's wheels are frictionless (because either breaking doesn't give us the answer we're looking for).
You can either assume the plane is stationary relative to the ground (as the original question implies) or you can assume the plane is progressing along the conveyor belt.
Either way, it doesn't matter as the question is still "Will the plane reach it's minimum Air Speed on the conveyor?". If the plane is stationary relative to the ground, then no it won't.
If the plane is moving along the conveyor (for reasons known only to previous posters in this thread), it will need to overcome it's Stall Speed before it runs out of runway (conveyor).
But on the other hand, I think a small biplane or triplane might be able to take off from the conveyor (stationary or not) as there would be a vast amount of wing area compared to weight, and there would be some prop wash over most of this area (although this would be 'dirty' air, not laminar flow).
Craft that take off using pure thrust and ignore aerodynamics more often than not are "rockets", not aeroplanes.