Figure

Part A

If $\backslash ($ d$=0\mathrm{.}80\backslash$mathrm$\{$ft$\}\backslash )$ and the spring has an unstretched length of $1\mathrm{.}20$ ft $,$ determine the force $\backslash ($ F $\backslash )$ required for equilibrium.

Express your answer in pounds to three significant figures.

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$\backslash ($ F$=\backslash$left$[\backslash$begin$\{$array$\}\{$l$\}\backslash$vdots $\backslash \backslash \backslash$hdashline$\backslash$end$\{$array$\}\backslash$right$.\backslash )$

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Provide Feedback Part A

Learning Goal:

To analyze the forces within space truss members and the reaction forces that act on space trusses.

A space truss is a stable three$-$dimensional structure that consists of members joined at their ends. If the external loading is applied at the joints, and the joints are ball$-$and$-$socket connections, the members of a space truss may be treated as twoforce members.

Figure

A space truss is subjected to a load of $\backslash ($ F$=\backslash \{160\backslash$mathbf$\{$i$\}-450\backslash$mathbf$\{$k$\}\backslash \}\backslash$mathrm$\{$lb$\}\backslash )($Figure $1)$ Three ball$-$and$-$socket joints at $\backslash ($ C $\backslash ),\backslash ($ E $\backslash ),$ and $\backslash ($ G $\backslash )$ support the space truss. If $\backslash ($ F$\_\{$x$\}=160\backslash$mathrm$\{$lb$\},$ F$\_\{$z$\}=450\backslash$mathrm$\{$lb$\}\backslash )$ in the negative $\backslash ($ z $\backslash )$ direction, and $\backslash ($ d$=9\mathrm{.}00\backslash$mathrm$\{$ft$\}\backslash ),$ what is the magnitude of the force in member $\backslash ($ A C $\backslash )?$ Indicate a tensile force as a positive value and a compressive force as a negative value.

Express your answer numerically to three significant figures in pounds.

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Part B

As shown, a space truss is the frame for a building's awning. $($Figure $2)$ Three ball$-$and$-$socket joints at $\backslash ($ A$,$ B $\backslash ),$ and $\backslash ($ E $\backslash )$ support the frame. If a force of $\backslash ($ F$=\backslash \{130\backslash$mathbf$\{$i$\}+390\backslash$mathbf$\{$j$\}\backslash \}\backslash$mathrm$\{$N$\}\backslash )$ is applied at point $\backslash ($ D $\backslash ),$ what are the forces in each member? Indicate a tensile force as a positive value and a compressive force as a negative value.

Express your answers numerically to three significant figures in newtons separated by commas.

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