# Pulley problem - finding tensions and acceleration

1. Nov 16, 2009

### reesespieces2

1. The problem statement, all variables and given/known data
I have a drawing that has two masses (unequal) hanging from a string that passes over a pulley. There is an acceleration acting on each of the forces in opposite directions. Assuming that the only given information is the masses (one is M=12 kg and the other is m=6 kg) how would I find the acceleration and the tensions on either side? (Also, the tensions are unequal)

2. Relevant equations
T$$^{}1$$ - Mg = -Ma
T$$_{}2$$ - mg = ma

3. The attempt at a solution
I'm not sure how to even approach this given that there are three different unknowns and only two equations.

2. Nov 16, 2009

### rl.bhat

Hi reesespieces2, welcome to PF.
In a single string the tension is the same in all its segments. So T1 = T2.

3. Nov 16, 2009

Thank you!