Question

. The force R is the resultant of the forces P1, P2, and P3 acting on the rectangular
plate. Find P1 and P2 if

Answer 1

$x-component \\ R_x=\sum F_x\\ 40 \cos 30= \frac{1}{\sqrt{5}}P_1+\frac{3}{5}P_2-20\\ 54.641= \frac{1}{\sqrt{5}}P_1+\frac{3}{5}P_2...1\\ y-component \\ R_y=\sum F_y\\ 40 \sin 30= \frac{2}{\sqrt{5}}P_1+\frac{4}{5}P_2\\ 20= \frac{2}{\sqrt{5}}P_1+\frac{4}{5}P_2...2\\ P_1=62.3 kN\\ P_2=44.6 kN\\$