Is it theoretically possible to ride up a 45 degree slope (without relying on momentum)?
Assuming a coefficient of friction of 1.0, it would require virtually all the weight to be on the driven wheel so that the front wheel would be on the verge of lifting off the ground. Does this mean it would be impossible to apply any torque to the back wheel to actually move the bike without back flipping?
Regardless of what any theories might suggest, has anybody actually done it?
I recall many years ago a car show where a Land Rover was driven up a 45 degree ramp to demonstrate its hill climbing ability so maybe it is possible. (The ramp was probably made of expanded metal or something similar so the coefficient of friction could have been greater than 1)