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Acceleration of pulleys and blocks are a...

Acceleration of pulleys and blocks are as shown in the figure. All pulleys & strings are massless & frictionless magnitude of `a_(A)` and `a_(B)` are :
.

A

`a_(A) = 0, a_(B) = 7`

B

`a_(A) = 0, a_(B) = 5`

C

`a_(A) = 0, a_(B) = 12`

D

`a_(A) = 5, a_(B) = 7`

Text Solution

Verified by Experts

The correct Answer is:
C

`1+(2+a_(A))/(2) rArr a_(A)=0` take upward
direction positive
a of pulley at right hand side
`3=(1+a)/(2) rArr a= 5m//_(2)`
`5=(-2 +a_(B))/(2) rArr a_(B) =12 m//s_(2)`
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Knowledge Check

  • The acceleration of the block (A) and (B) respectively in situation shown in the figure is: (pulleys and string are massless).

    A
    `(2g)/(7)` downward, `(g)/(7)` upward
    B
    `(2g)/(3)` downward, `(g)/(3)` upward
    C
    `(10)/(13)g` downward, `(5g)/(13)` upward
    D
    none of these
  • 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)`
  • Find the acceleration of the block of mass m. Assume pulleys are massless and frictionless.

    A
    g/3
    B
    `(2g)/3`
    C
    `g/2`
    D
    None
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