How Do You Calculate Forces in a Modified Atwood Machine?

[Prosercunus]

1. I am trying to figure out the equation for tension force, friction force, acceleration, it looks from my very little physics knowledge is that it is based on the Atwood Machine, not the free hanging Pulley, but the pulley with the table (where one block is hanging, one is flat on the table). No inputs are given as far as I can tell, only to find the equation or formula? I can try track down a picture if required.
2. Newtons second law?
3. I have tried basically dozens of tutorials to put me on track and no dice, I just want some guidance basically

 

[Spinnor]

See example 4,

http://www.cliffsnotes.com/study_guide/Dynamics.topicArticleId-10453,articleId-10417.html

found via,

https://www.google.com/webhp?hl=en#...w.,cf.osb&fp=cb785b2a153d08fa&biw=734&bih=439