Yeah, avoid the table saw thing if you can. I have done that a number of times. With a powerful saw, dragging down the motor isn't so much of a problem, but it IS quite dangerous as far as kickback. The blade tends to get pinched (the wood often curves after being cut) ... especially when making the second cut. When it kicks back and throws the piece, you will understand the warning. (It's amazing how much a running saw blade can bend!) Not to mention that you have to be really careful of your fingers with small pieces. You can't use the stock splitter/guard since it isn't a through cut. If you happen to have one of the replacement splitter devices (that works without the guard), this would be a good time to use it. You will also need a zero-clearance blade insert.
As mentioned, you can normally only get 6" this way. Almost every (non-benchtop) bandsaw can cut that thick, so resawing on the bandsaw just makes more sense usually (if one is available). If it's over 6", you can't make it through anyway on the table saw. (However, you can cut as much as possible and save a lot of cutting with the hand saw. It's a lot easier to just finish the cut by hand -- using the existing kerfs as a guide.)