A lifeboat hangs from a davit, as shown in Figure 4.33, with the x direction, the vertical part of the davit and the arm of the davit being mutually perpendicular. The rope is fastened to the deck at a distance X from the davit. It is known that the maximum force in the x direction that the davit can withstand is 200 N. If the weight supported is 500 N and the pulley system is a single loop so that the tension is 250 N, then determine the maximum value that X can take.

Figure 4.33