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This last picture is definitely the way you can do it. But i would ad four metal springs, because these rubber break a lot.

Also, if you install this mechanism, it will allow movement in only one direction.

There are ways to make it go back and front and with diferent speeds.
Best thing to do here is to connect 4 generators to the wheel. and make it produce light and sound as he runs it, it would also lower the speed, but it could go both ways.