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## Homework Statement

Find an expression for the acceleration of m1.

## Homework Equations

## The Attempt at a Solution

I did this earlier, and looking back on it I have a question:

Sum of forces for m1:

Fx= F2 on 1= m1a1

Sum of forces for m2:

Fy = F1 on 2 + T1 - m2g = m2a2

I got the expression after substituting them into each other and saying a2 = -.5a1, I'm just wondering why you can say T1= F1 on 2 , because since there is acceleration, can you consider the tension throughout the rope to be the same?