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Figure shows an arrangement of pulleys a...

Figure shows an arrangement of pulleys and two blocks. All surfaces are frictionless . All pulleys and strings are massless. All string are smooth and massless.

The acceleration of block `A` is `:`

A

`(2g)/(9)`

B

`(g)/(9)`

C

`(g)/(5)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`T=2ma`
`mg-2T=(ma)/(2)`
`mg-4ma=(ma)/(2)`
`mg=(9ma)/(2)`
`a=(2g)/(9)`
`T=(4mg)/(9)`
`N_(1)=ma=(2ma)/(9)`
`N_(2)=mg+2T`
`N_(2)=mg+2T`
`=mg+(8mg)/(9)=(17mg)/(9)`.
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