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Q.

In the system shown in the figure, all surfaces are smooth. Block A and B have mass m each and mass of block C is 2 m. All pulleys are massless and fixed to block C. Strings are light and the force F applied at the free end of the string is horizontal. Find the acceleration of all three blocks 
 

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a

F2m

b

F8m

c

Fm

d

F4m

answer is B.

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Detailed Solution

Block ‘C’ will not move as net horizontal force on it is zero
 

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Horizontal forces on C have been shown in the fig.
Accelerations of A and B are same equal to
a=F2m

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