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Q. Two blocks $A$ and $B$ of masses $3\,m$ and $m$ respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of $A$ and $B$ immediately after the string is cut, are respectively :Physics Question Image

NEETNEET 2017Laws of Motion

Solution:

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Before the string is cut
$k x=T+3 m g$...(1)
$T=m g$...(2)
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$\Rightarrow k x=4 m g$
After the string is cut, $T=0$
$a=\frac{k x-3 m g}{3 m}$
$a=\frac{4 m g-3 m g}{3 m}$
$a=\frac{g}{3} \uparrow$
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