Pulley problem - finding tensions and acceleration

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SUMMARY

The discussion focuses on solving a pulley problem involving two unequal masses, M = 12 kg and m = 6 kg, and determining the acceleration and tensions on either side of the pulley. The relevant equations are T1 - Mg = -Ma and T2 - mg = ma. It is established that the tensions are unequal, which complicates the solution. The user is advised that in a single string, the tension remains constant across segments, leading to T1 = T2.

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reesespieces2
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Homework Statement


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)


Homework Equations


T^{}1 - Mg = -Ma
T_{}2 - mg = ma


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

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