The goal is to find the tension in the strings and acceleration of each block. M1=8 kg, m2=1 kg, and m3= 2 kg. This is a study problem so not really homework but im having trouble finding anything quite like this problem.
The Attempt at a Solution
Initially i used a=((8-3)/(3+8))9.8 to figure out a1 giving me its acceleration of -4.455 m/s^2, I initially tried plugging this into the formulas given and that would give incredibly high values for a2 and a3 and a high value for the tension. So i tried using it as a positive for the right side of the system moving up. which actually gave me the tension i verified with calculators(ive spent hours on this now and beating my head into the wall.). From there i used this value to try and determine the rest, however a' never matchs for a2 and a3 and the equations for body 2 and 3 never work out. I also attempted to figure out the acceleration of m2 and m3 on their own and then use that acceleration plus a1 and that didnt work either. At this point I'm completely lost, I didnt have any issues with my homework but this is really bugging me that i cant figure this one out.
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