Boost Your Bike - Flywheel Hybrid Bike
sciencefriday.com
sciencefriday.com
That being said, the weight is the lose element here (and why bikes don't generally have flywheels) Also you need to be careful about braking hard and then turning :-) The depending on the energy in the wheel the gyroscopic moment on the middle of the frame which will try to twist the frame about its longitudinal axis when the wheel changes orientation in the vertical access, could be extreme.