I recently bought a Cintiq 22HD tablet, and the came that came along with it looked like this: [link]
but the tip of it where you draw looks a little different. Maybe it was because I put it in the stand? But it basically looks like the cone shape of the tip is screwed back into the pen, and I don't know how to get it back to how it was.
I'm a little confused as to what you're saying, but I'll do my best.
The little tip you're talking about is the nib of the pen. There are many different types of nibs, but from what I know, most usually come with the default black one in the picture you linked.
Do post a pic of your pen. It'll be easier to understand the problem that way.
but the tip of it where you draw looks a little different. Maybe it was because I put it in the stand? But it basically looks like the cone shape of the tip is screwed back into the pen, and I don't know how to get it back to how it was.