Most table saw you can place the fence anywhere and make a cut, even directly over the blade. So my guess this is just a beginers mistake, we have all wrecked tools or done something, thats how we learn. Before you made the cut, you probably saw a gap and that was the case. On less expensive saw and even some nicer saws, you never get a true cut. When a motor starts, you might get minut wobbles naked to the eye, but because of the deisign of the motor and maybe even a blade, you will always get some wobble. My guess is you were trying to be to precise and just made a mistake. No big deal. In the future if your trying to get that close or take off only an 1/16 or 1/32, I would suggest either using planner. if you don't have one, use a bandsaw, if you don't have one use a router. You can actually turn your table saw into a router table. If you don't have a router, you a sander. You really only want to use a tablesaw for cuts greater than 1/2", maybe a 1/4", but that is pushing the limites of a tablesaw.