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Find the velocity of the hanging block i...

Find the velocity of the hanging block if the velocities of the free ends of the rope are as indicated in the figure.

A

`3//2 m//suarr`

B

`3//2 m//s darr`

C

`1//2 m//s uarr`

D

`1//2 m//s darr`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A uniform rope of length l and mass m lies on a smooth horizontal table with its length perpendicular to the edge of the table and a small part of the rope having over the edge. The rope starts sliding from rest under the weight of the over hanging end. The velocity of the rope when the length of the hanging part is . x

    A
    ` sqrt((gx)/l)`
    B
    `sqrt((gx^(2))/l)`
    C
    `(gx)/l`
    D
    `(gx^(2))/l`

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