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Maximum tension ia the rod

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In this I could not understand how they have got the lengths as 2l/3 and l/3 .
Is there any trick behind this or error in the question.

asked Mar 26, 2017 in Physics Problems by koolman (4,116 points)
2l/3 and l/3 is may be due to fact that rod rotates about center of mass ( I'm  not completely sure though ) Am I thinking correctly ?
I think you are correct.

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