In he figure, 2 identical particles each of mass m (the black dots) are tied together with an inextensible 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 is:
A. √3 F/2m
B. F/2√3m
C. 2F/√3m
D. √3F/m
11First resolve the components in x & y direction, we get
F= 2T cos 30
That implies, T = F / √3
The component of T along the line joining the object is T cos 60.
Therfore, T cos 60 = ma
Therefore, ma = F / 2√3
a = F / 2√3m ................................. Ans.
