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The Atwood machine in figure has a third...

The Atwood machine in figure has a third mass attached to it by a limp string. After being released, the `2m` mass falls a distance x before the limp string becomes laut. Thereafter both the mass on the left rise at the same speed. What is the final speed ? Assume that pulley is ideal.

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The correct Answer is:
`[sqrt((3gx)/(8))]`
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