# Find the acceleration a

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Note: a and g are magnitudes; the directions
of ~a and ~g are shown in the figure below (the
acceleration is pointing up).Consider a force of 22 m g pulling three
blocks connectedby inextensible strings
(which can be considered massless)in the vertical direction,where the masses are a multiple of a given mass m

Here, we don't need to find T's. All three block can be considered together as a whole with $M=20m$. The total weight is $20mg$. The net force is point up $F_{net}=22mg-20mg=2mg=Ma$. Then you can find a.