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Two masses each equal to m are lying on x-axis at `(-a,0)(+a,0)` respectively as shown in figure They are connected by a light string A force F is applied at the origin along vertical direction As a result the masses move toward each other without loosing contact with ground What is the acceleration of each mass? Assume the instantanceous position of the masses as`(-x,0)`and `(x,0)`

A

`F/m (x)/(sqrt(a^2 -x^2))`

B

`(F)/(2m) (x)/(sqrt(a^2 - x^2))`

C

`(2F)/(m) (x)/(sqrt(a^2 - x^2))`

D

`(2F)/(m) (sqrt(a^2 - x^2))/(x)`

Text Solution

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The correct Answer is:
B
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