Tension over a pulley

[spyderracing32]

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This is a question regarding question 245 in EK Physics 1001:

In a single pulley system with two masses, 2m and m, attached to either end of a string that passes over the pulley how will the tension be affected as the masses approach infinity (in the 2:1 ratio). I understand the system will continue to accelerate at the same rate, but I'm thinking tension would approach infinity since T = (4/3)mg in the system and the book says it approaches 1000N. The explanation in the back of the book doesn't seem to correspond to the question, so I'm just checking to see that my reasoning is logical here.

 

[HawkeyePostOp]

Yeah this one looks ******ed. The tension has to approach infininy and there's no reason for it to approach an arbitrary number like 1000. I would skip that little batch of problems since they mixed everything up.