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In the pulley system shown the two upper...

In the pulley system shown the two upper pulleys are fastened together to form single unit. The cable is wrapped around the smaller pulley with its end secured to the pulleys so that it cannot slip. Determine the upward acceleration of block B if A has downward acceleration of `2 m//s^(2)` :

A

`16 m//s^(2)`

B

`8 m//s^(2)`

C

`0.5 m//s^(2)`

D

`0.25 m//s^(2)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • In the diagram shown in figure, both pulleys and strings are massless. The acceleration of 2 kg block is

    A
    `2.5 m//s^(2) (uarr)`
    B
    `5 m//s^(2) (uarr)`
    C
    `7.5 m//s^(2) (darr)`
    D
    `10 m//s^(2) (uarr)`

  • In the pulley system shown, if radii of the bigger and smaller pulley are 2 m and 1 m respectively and the acceleration of block A is 5 m//s^2 in the downward direction, then the acceleration of block B will be : .

    A
    `0 m//s^2`
    B
    `5 m//s^2`
    C
    `10 m//s^2`
    D
    `5/2 m//s^2`

  • In the pully system shown, if radii of the bigger and smaller pulley are 2m and 1m respectively and the acceleration of block A is 5 m//s^(2) in the downward direction, then the acceleration of block B will be

    A
    `0m//s^(2)`
    B
    `5m//s^(2)`
    C
    `10m//s^(2)`
    D
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