Ok, so you're just riding along. Your motorcycle "wants" to go straight. You have to overcome that momentum to go around a corner. Exactly the same on a bicycle since all common 2 wheeled vehicles are governed by the same laws (saying different would mean that you believed bicycles existed in some separate dimension, we're not talking Buckaroo Banzai here).
Now let's take the corner and even the ground out of the equation. What's going on in this photo (thanks MXA destops)?
