Snake Caught in Pipe

Howdy y'all. I have an interesting problem. I was snaking out a floor drain (main line) using a flat sewer rod or tape like this: Attachment 38890 (http://www.doityourself.com/forum/attachments/plumbing-piping/38890-snake-caught-pipe-088712150503lg.jpg) It went in fine and successfully cleared the clog, but now I can't get the thing out. It's caught on a turn in the pipe about 6 feet in. I'm pretty sure that there's a lip or flange where two pipes come together and the ball thing on the end of the rod is getting stuck at that point, sorta like this: Attachment 38889 (http://www.doityourself.com/forum/attachments/plumbing-piping/38889-snake-caught-pipe-stuck-snake.png) Red being the snake, blue the ball at the end of the snake, and black the pipes.