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In figure shown if 2 kg block is moving ...

In figure shown if 2 kg block is moving at an acceleration `2 m//s^(2)`, find the elongationin spring and acceleration of 4 kg block at this instant. Take g= `10m//s^(2)`.

Text Solution

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The correct Answer is:
A
`veca_(B)=veca_(A)+(vec(alpha)xxvec(r_(B,A)))-omega^(2)vec(r_(B,A))`
`=-5j+4alphai+3alphaj-(12i-16j)`
`a_(B)` along `y` axis should be zero
`implies 11+3alpha=0`
`impliesalpha=-4/3"rad"//s^(2)`
`a_(B)=(4alpha-12)i=-80/3im//s^(2)`
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