[KenWittlief]

If the flywheel is mounted with the axis pointing up and down, it wont have any effect on your robot, until you try to climb the ramp.

This is a good time for teams to learn about gyroscopes. Most people think they know what a gyroscope does, but they are wrong :^)

using the front wheel of a bike as a reference, when the wheel is spinning if you turn the handlebars to the LEFT the gyroscopic effect makes the bike lean to the RIGHT

likewise if you lean the bike to the LEFT the wheel turns to the LEFT.

the first one doesnt sound right, but it is. Hang a bike from the beams in your garage and try it. The second one is the same action with the axis of forced movement rotated 90 degrees. This is what makes a bike balance on its own, if the bike starts to fall over the front wheel turns to correct the fall (turns into the fall).

what this means for your robot:

if you have a flywheel with a horizontal axis and someone tips your bot to one side, your bot will turn in one direction. And if they push your bot so that it turns, then the bot will also tip to one side. When you turn the bot it will also try to tip to one side- the faster you turn, the stronger the tipping torque!

if you have a flywheel with a vertical axis nothing will happen until you pitch the nose of the robot up or down. Then it will tip to one side or the other (left or right).

If you have two flywheels spinning in opposite directions, the gyroscopic effect is completely canceled out. Ive seen bicycles rigged up with a wheel on top of the front and back wheels, so that as you ride they spin backwards. The bike is almost impossible to ride, and if you give it a forward motion shove by itself, it falls right over.

You would need to have a pretty massive flywheel for these effects to be of much concern. One last thing, it doesnt matter where you mount the flywheel on the bot (high or low). The gyroscopic effect is the same - it applies a torque to the frame of the bot, no matter where its mounted, the same torque.