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Q.

In figure, two identical particles each of mass m are tied together with an inextensible string. This is pulled at its center with a constant force F. If the whole system lies on a smooth horizontal plane, then the acceleration of each particle towards each other is

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a

23Fm

b

32Fm

c

123Fm

d

3Fm

answer is B.

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Detailed Solution

At point P0

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Acceleration of particle towards each other

=component of T towards each other particle m =Tcos60°m =(F/3)(1/2)m =F23m

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In figure, two identical particles each of mass m are tied together with an inextensible string. This is pulled at its center with a constant force F. If the whole system lies on a smooth horizontal plane, then the acceleration of each particle towards each other is