when turning a pen, does the end of the mandrel not jammed into the spindle just sit out in the air, or is it supported by the tailstock. If it is supported by the tailstock, how do I get the morse taper off. I already tried taking out the hex screw that is in it, but that didn't appear to do anything. I know the little metal cone comes out because it has gotten stuck in stock I have had jammed on tightly in the past, but I couldn't get it off with pliers just now. I have a central Machinery 12" lathe BTW. Also, do the bushings keep the stock from slipping as long as the little knut at the end is on tightly, or should I put some tape under the bushings as well just to hold them on a little tighter?

Sorry for all the questions