In reply to Goofyfoot:
The 10 minute workout is a starting point but it is better to design a workout that you can keep gradually adjusting as you improve. With the 10 minute workout if you keep repeating it then it will not enable you to progress as your body will reach stasis and if you can't do it then it is an incomplete workout.
An adjustable workout means you can keep challenging your muscles to get stronger or endure more. This training concept is called progressive overload. Progressing the overload can be done in terms intensity (hold size/added weight/number of fingers used) volume (amount of total hanging time) density (reducing rest time between reps/sets) and variety (different grip positions).
Useful if you set out what you want to prioritise. This could be pulling strength, core strength, max hang strength or finger endurance. Either put those exercises that train these components first in your session or dedicate that session or a block of sessions to one type of work.
For hangs I find hanging the rock rings back to back so you are almost hanging in a prayer position the most comfortable. In fact that was part of the inspiration that led me to design a wooden alternative (the Wedge).