Question $3$: Truss problem

According to the tuss problem described below, formulate the linear system $Ax=b.$ Consider the following plane truss having $3$ members connected by $3$ joints. We would like to determine the resulting force on each member of the muss.

Used $15$

Using the tollowing static equilibrium cquations, cast the system of lincar oquations iaro a matrix cquation $A^{4}x-b.$ torces:

$|$or joint $1$

${\displaystyle \underset{?}{\overset{?}{}}}{F}_x=0,1000sin(d)+I_{3}cos({30}^{**})+r_{i}cos({60}^{**})=0$

$F_y,0=1000cos(d)+F_{1}sin(30)$ i $F_{3}sin(60)=0$

Torjuin $2$

$F_x=0=>U_2-F_{1}cos(30)-F_2=0$

$F_y=0=>V_2-F_{1}sin(30)-0$

For jourt $3$

$F_x=0=>F_2+F_{3}cos(60)=0$

$F_y=0=>V_4-F_{3}sin(60)=0$

Display your results