Physics 105 Daily Exercise for Thursday 10/1 (Due 10/6)

1. You and a friend are sitting on opposite ends of a 3-m long bench that only has one support which is moveable.  If your mass is half that of your friend's, where does the support have to be placed relative to where you are sitting in order for you and your friend to be balanced?
2. Figure skaters and divers can speed up and slow down their rotations without pushing on anything (divers are in the air and skaters are on ice).  How do they change their rotational speeds?

Answer in the form below, a short answer for each is fine. 
This report is due by 8:00 am Tuesday morning.