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Find the speed of block A...

Find the speed of block A

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In the above situation block B is moving with velocity v. Then speed of each point of the string is v along the string.
`:.` speed of the block A is also v
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Knowledge Check

  • The system shown in the figure consider of a light , inextenslible cord, light, frictionless pulley, and blocks of equal mass. Notice that block B is attached to one of the pulleys. The system is initial held at rest so that the ground . The blocks are then released. Find the speed of block A at the moment the vertical separation of the blocks is h .

    A
    `sqrt((6 gh)/(15))`
    B
    `sqrt((8 gh)/(13))`
    C
    `sqrt((8 gh)/(15))`
    D
    `sqrt((6 gh)/(13))`

  • A rod can freely rotate in vertical plane about the hinge at its bottom. Two strings tie the top of the rod with blocks A and B as shown in the figure. At the instant shown,, the rod is vertical and the speed of block A is u (m)/(s) downwards. Find the speed of block B.

    A
    `sqrt(3)u`
    B
    `u`
    C
    `(u)/(2sqrt(2))`
    D
    `sqrt((2)/(3))`

  • A block A os mass m slides on a smooth slider in the system as shown. A block c of mass hanging from a pulley pulls block A . When the block A was at position B , the spring was unstretched. Find the speed of the block A when AB = OB = L . .

    A
    `[(gL)/(sqrt(2))-(KL^(2) sqrt(2))/(m)]^((1)/(2))`
    B
    `[gL -(KL^(2))/(2m) (sqrt(2) -1)^(2)]^((1)/(2))`
    C
    `[gL -(2KL^(2))/(m)(sqrt(2) -1)^(2)]^((1)/(2))`
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    `[(gL)/(2)-(KL^(2) sqrt(2))/(m)]^((1)/(2))`

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