With two blocks hanging from a pulley at opposite ends connected by a block in the middle. What is the tension between the left most block and the middle block?

Explanation:

Tension on the pulley are equal, since they are connected by the same string

So analysing each block

Using Newton law

ΣF = ma

Two forces are acting on the block, the weight and the tension

T-W=ma. Upward

W of the object is given as my

W=mg

T-mg=ma

T=ma+mg

T=m(a+g)

So, this is the tension on the block

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