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Angular Impulse

In the given ...

Question

In the given figure both the blocks have equal mass. When the thread is cut, acceleration of block $A$ and $B$ are ?

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Solution

$J u s t a f t e r c u t t i n g t h e t h r e a d, e x t e n s i o n o n t h e s p r i n g = k x = m g O r x = m g / k N e t e x t e r n a l f o r c e o n m a s s A i s 2 m g . A c c e l e r a t i o n o f m a s s A i s = 2 m g / m = 2 g B e f o r e c u t t i n g t h e t h r e a d, N e t f o r c e o n B i s z e r o . (A s m g i s d o w n w a r d a n d m g i n u p w a r d) S o j u s t a f t e r c u t t i n g t h e t h r e a d, t h e a c c e l e r a t i o n o f b l o c k B i s Z e r o .$

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