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In the system shown in the fig., the bead of mass m can slide on the string. There is friction between the bead and the string. Block has mass equal to twice that of the bead. The system is released from rest with length l of the string hanging below the bead. Calculate the distance moved by the block before the bead slips out of the thread. Assume the string and pulley to be massless.

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The correct Answer is:
`(l)/(3)`
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