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The extra drag from generator contacting the front wheel would negate any energy gained.
I was thinking more along the lines of a gerbil and an exercise wheel welded to one of those bicycle generators.
Mount it in front of the speedometer so the gerbil would think he was outrunning the bike.
Put a solar panel over the rodent so he doesn't overheat and a little propeller in front to capture the wind energy.

One might not be enough.
Probably have to hook up a few gerbils in series.