Laws Of Motion

A \(1 \mathrm{~kg}\) mass is suspended from the ceiling by a rope of length \(4 \mathrm{~m}\). 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 \(g=10 \mathrm{~m} / \mathrm{s}^2\))