weight distribution

[JesseK]

For weight distribution, you'll want your stable center of mass slightly in front of or slightly behind your center of rotation (which looks like it's the exact center of your bot). If it's a low-profile bot, center of gravity doesn't look like it's of too much concern; just put your flag-holding device slightly left of center.

[kDude]

What about if the robot had 4 omni wheels, one on each corner, and the two power wheels on the middle of either side. That would give us a much tighter turning radius.

[IbleedPink233]

Originally Posted by kDude

What about if the robot had 4 omni wheels, one on each corner, and the two power wheels on the middle of either side. That would give us a much tighter turning radius.

It sure would give you a tighter turn radius, allowing you to spin in place about the center of your robot, ie tank drive. If you did this, then putting the weight in the center of the robot would probaby be your best bet. That way, you won't have weight on the outside to swing around and slow you down (at least, that's what basic physics would say, I don't know about the real world) and you would have more weight on the traction wheels, where it does the most good.
Somehow I don't think that placing weight on the left side would help you make fast left turns in this wheel configuration (if so, then it could slow you down if you need to go around the Track in reverse), but I could be wrong.

[MrForbes]

If you look at the relationship of CG relative to where the wheels contact the floor, and then you look at the forces acting on the robot going around a turn at speed, you might find that locating the CG over towards one side will indeed affect the speed at which you can make a corner bofore the robot falls over. Although if your CG is low enough, then you will loose traction long before this becomes an issue!

24" sounds way way too tall for a robot with no ball handling stuff, I'd shoot for 8" or less overall height, not counting flag holder.