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

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2 T cos ⁡ 30 o = F ⇒ T = F 2 cos ⁡ 30 o = F 3 Σ F y = T cos ⁡ 60 o = F 2 3 Σ F y = m a y ⇒ a y = F 2 3 m

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