What is the tension on a string wrapped around a pulley?

[uncletammy]

Homework Statement

[PLAIN]http://nicholascrumrine.net/otherpics/physics/HW4_6.jpg

Homework Equations

Sum(F)=MA

w=v/r

The Attempt at a Solution

My assumptions are as follows:
The sum of the tensions on the left side of the pulley is equal to the tension in right side of the pulley
The given distance between the 2kg and 10kg masses is irrelevant and not needed.

I feel like I need to solve for the acceleration of the system before I can work the first part of the problem. Also, I don't know what is being labeled as 24.8cm and whether it is relevant. Any help would be much appreciated. Thanks!

 

[Doc Al]

My assumptions are as follows:
The sum of the tensions on the left side of the pulley is equal to the tension in right side of the pulley

No, that's not correct. (Why the sum?)

The given distance between the 2kg and 10kg masses is irrelevant and not needed.

Good.

I feel like I need to solve for the acceleration of the system before I can work the first part of the problem.

Sounds good to me.

Also, I don't know what is being labeled as 24.8cm and whether it is relevant.

Good question. Looks like this same diagram might correspond to several problems. Ignore that bit of data.