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Q.

In the figure shown, pulley and spring are ideal and strings are light and inextensible. Initially all the bodies are at rest when string connecting A and B is cut. Find initial acceleration (in m/ s2)  of pulley.
 

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answer is 5.

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Detailed Solution

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Spring force does not change instantly. Just after cutting the string, spring force will be 4mg . Since, pulley is massless, tension in the string will be still 2mg .
aA=2mg−mgm=g↑ and aC=0
So, apulley =(g+0)2=5m/s2

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