Find the magnitude of the unknown force F, if the resultant of the four forces (F, P, 3P, and 5P) acting at the point O is \(2\sqrt{2}\) P as shown in figure. The four concurrent forces (3 P and 5 P act in vertical directions; P and F in Horizontal directions) acting at a point O as shown in Figure.
1
3 P (→)
2
5 P (→)
3
2 P (→)
4
4 P (→)