Flywheel -- Why does it reverse direction after spinning to a stop?

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I find it difficult to believe that a correctly designed heavy flywheel bearing would have enough friction recoil to make it rotate back much.

Edit: Can we see a video?
 
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You could do some experiments, putting the wheel at various angles and letting it go to see where it goes.
Also, no one has suggested the possibility that this is an optical illusion. It could that there is no real reverse motion at all and that your brain is misinterpreting what you are seeing. There are many websites that show such illusions of motion. You can have an enjoyable Google session, finding them and seeing the effects.

This is a direct parallel with linear motion. Apart from a 'bounce' due to resilience in the system, you would hardly expect a mass that is brought to a halt, to move backwards after it comes to rest.
 
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I was going to make a video of my big old heavy door with really old hinges but as it tries to come to a stop it bounces back and forth a few times like a diminishing sine wave.
 
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I remember in younger days trying to "check" the balance factor of a bicycle wheel which did the same thing, I was able to make it not happen by loosening the bearings a bit.