A \(1 \, \text{kg}\) mass is suspended from the ceiling by a rope of length \(4 \, \text{m}\). A horizontal force \(F\) is applied at the mid point of the rope so that the rope makes an angle of \(45^\circ\) with respect to the vertical axis as shown in figure. The magnitude of \(F\) is:
(Assume that the system is in equilibrium and \(g = 10 \, \text{m/s}^{2}\))
