A$1$ Answer ALL parts $($a$)$

a$)$ A truss structure is shown in Figure A$1-1.$ The member BC is horizontal. The length of

all members $L_{BC}=1m$;$L_{AC}=2m$ and $L_{AB}=\sqrt[\phantom{2}]{3}m.$ The cross$-$section area of all

members is $10m{m}^2.$ A force $F=1000N$ is applied on joint $A.$

I. Determine the reaction forces at joints A and $B.$