Problem $1)$ A square is subjected to two forces. Given this information answer the questions below:

Figure $1$: Box in static equilibrium.

i$)$ Find the magnitude of the force $F,$ its direction $,$ and the horizontal location $x$ where it acts such that the square is in static equilibrium. You might know the answer based on your intuition, but you must show your work by using statics. $(11$ pts$)$

ii$)$ Which equation did you use for determining the location $x?(2$ pts$)$

iii$)$ Explain physically $/$ conceptually in a sentence or two why it makes sense that you found $x$ from the equation used in part ii$).(2$ pts$)$