A 1 kg mass is suspended from the ceiling by a rope of length 4 m. A horizontal force ' F ' is applied at the mid point of the rope so that the rope…

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