The black lines represent a $U-$shaped rigid structure.

The structure is attached to the wall by a frictionless pinioint at point $A.$

The structure is also supported by a spring element attached to points E and F$,$ indicated in green.

Distributed loads are indicated by blue arrows.

Distances are given by yellow dashed lines.

$15$

$8$ polints

Draw the free$-$body diagram for the system. Be sure to draw and label all forces and geometry. Make sure to show the distributed force as a concentrated force at the appropriate location. Ensure your work is neat and legible.

Please paste a photo of your free body diagram in the answer box:

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$12$ pt

Faragraph $4$

$2$ polints

FOR AIL FOLLOWING QUESTIONS: The force in the spring element is $F_8$

Which of the following is the correct equilibrium equation for forces in the x $-$direction?

$A_s-cos45F_8=0$

$A_3-\frac{4}{5}{F}_s=0$

$A_z-\frac{3}{5}{F}_s=0$

$A_3-\frac{1}{\sqrt[\phantom{2}]{5}}{F}_p=0$

$2$ points

Which of the following is the correct equilibrium equation for forces in the $y-$direction?

$A_y+\frac{3}{5}{F}_a-15=0$

$A_y+\frac{4}{5}{F}_s-11\mathrm{.}25=0$

$A_y-cos45F_f-11\mathrm{.}25=0$

$A_y+\frac{3}{5}{F}_a-11\mathrm{.}25=0$