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If the acceleration of the block B in th...

If the acceleration of the block `B` in the following system is a `(` in `m//s^(2))` then find out value of `2a//5(g=10m//s^(2)) :`

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The correct Answer is:
3

`l=x_(B)+3x_(A)`
`rArr 0=(d^(2)x_(B))/(dt^(2))+3(d^(2)x_(A))/(dt^(2))`
`rArr 0=-a_(B)+3a_(A)`
`rArr a_(B)=3a_(A) …….(1) `
For `B T=ma_(B) ….(2)`
For `A 3mg-3T=3m_(A) …..(3)`
`mg-T=ma_(A) `
By `(1),(2) & (3) `
`:.a_(B)=15//2 Ans.`
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