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Block A is given an acceleration 12 ms^(...

Block A is given an acceleration `12 ms^(-2)` towards left as shown in fig. Assuming block B always remains horizontal, find the acceleration (in `ms^(-2)`) of B.

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Sum of change in length of segment of string (1)
Should be zero`implies (-2x_(A))+(2x_(P_1))=0`
or ` x_(A)=x_(P_1) implies a_(A)=a_(P_1)` ..(i)
Also sum of the change in segment length should also be sow
`(-x_(p_1)+x_(B))+(x_(B))=0`
`2x_(B)-x_(p_1)=0 implies 2a_(B)=a_(p_(1))`
From (1) and (2) `a_(A) = 2a_(B)`
`implies a_(B)=(a_(A))/(2) = 1ms^(-2)`.
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