The roller with the higher rotational inertia will transmit a greater force to the floor through its friction. So the floor will be pushed in that direction.
Here is rolling resistance force explanation
http://en.wikipedia.org/wiki/Rolling_resistanceNo any dependencies from velocity.
If you calculate the total linear momentum of the system, including the floor (and earth), it'll be zero. Same for angular momentum.
I used normal kinematic equation from physics book. Great example of this is a rolling body along incline.
http://cnx.org/content/m14312/latest/I don't see any errors on my kinematic equation yet. I would appreciate if you find one.
High precision equipment won't help because you haven't made a quantified, testable hypothesis (that I know of). If you do it in an evacuated room with frictionless parts and high speed cameras, and the results are consistent with computer simulations, then what will that tell you? Maybe the effect you hope for is too small to detect with that equipment. So it's a probably-pointless experiment.
I made hypothesis about standalone natural phenomenon as rotational and translational motion.
http://knol.google.com/k/paradox-of-classical-mechanics-2#I don't think effect is too small. I think, the main problem is simplification of physics calculation.
