Dynamo, Generator, Alternator?

Hey, bit of an odd projection question here,
Im working on generating a current(enough to power a few leds) in a juggling club.
I was originally thinking of a "shake" generator like this <a href="http://www.sciencebuddies.org/science-fair-projects/project_ideas/Elec_p020.shtml" [Broken] >This</a>

With the shake generator in position along the length of the club, the magent inside the coil is stuck to the far end of the coil by centripetal force during the spin. This is the problem as it only completes maybe one or two full oscillations. (one when I catch the club, and one at start of spin) The spin is where I would hope to generate the most energy.

Another idea I was thinking of is some sort of fly wheel, to gather this spining energy.

Anyone got any comments or ideas on how to collect some of this spinning energy?
Thanks for any help you can give me
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How about battery-powering the LEDs, and using a spin sensor as the switch?
Yeah I was originally thinking about just battery powering them,
it was just Im a first year civil eng student and we have a physics module this semester, and have spent the last month working on different coils, faradays and lenz laws.
Tbh its stuff im not really interested in and was hoping a practical project would keep me interested.
maybe this is wayyyy to complicated a project tho

I will definitely look into spin sensors if I do use battery power,
care to direct me to anything?

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