Q$1.$ The given truss is acted upon by two external forces as shown, $\backslash (\backslash$mathbf$\{$F$\}\_\{1\}=4\backslash$mathrm$\{$kN$\}\backslash )$ at a distance, $\backslash (\backslash$mathrm$\{$a$\}=4\mathrm{.}6\backslash$mathrm$\{$~m$\}\backslash ).$ from support A and $\backslash (\backslash$mathbf$\{$F $2\}=8\backslash$mathrm$\{$KN$\}\backslash ).$ Hint: $\backslash (\backslash$mathbf$\{$F $1\}\backslash )$ is perpendicular to member AC ; thus, its perpendicular distance from point A is the distance

$"$a$".$ Calculate for the reaction force at B only. No need to draw a new diagram for the $\backslash ($ F B D $\backslash ),$ just complete the given diagram on the worksheet. Show your complete work $\backslash ((3\backslash )$ marks$)$

Question $2$: $(6$ points$)$

Q$2.$ Determine the reaction forces for all the supports for the given beam if $\backslash (\backslash$mathbf$\{$x$\}=4\mathrm{.}4\backslash$mathrm$\{$ft$\}\backslash )$ and $\backslash (\backslash$mathbf$\{$M$\}=\backslash$mathbf$\{625\}\backslash$mathrm$\{$Ib$.$ft$\}\backslash )..$ No need to draw a new diagram for the FBD$,$ just complete the given diagram on the worksheet. Always indicate the correct direction and

sense in your final answer and show the Math check in your work. Hint: Use the principle of a couple$/$s if there is$/$are$.(6$ marks$)$

Magnitude of $\backslash (\backslash$mathrm$\{$Ay$\}=\backslash$ldots $\backslash )$

$($a$)$ Downwards

$($b$)$ Upwards

Magnitude of $\backslash ($ B x$=\backslash )$

$($a$)$ No direction

$($b$)$ To the right

$($c$)$ To the left

Magnitude of By $\backslash (=\backslash )$

$($a$)$ Upwards

$($b$)$ Downwards

Q$4.$ An external force, $\backslash ($ F$=200\backslash$mathrm$\{$~N$\}\backslash )$ acts on the circular curved member shown with radius, $\backslash (\backslash$mathrm$\{$r$\}=3\mathrm{.}4\backslash$mathrm$\{$~m$\}\backslash ).$ Answer the following questions first; then, complete the given diagram on your worksheet for the FBD$.(11$ marks$)$

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a$.$ What is the distance of point A from point O$?$a a $=($no work required$)$

c$.$ What is the vertical distance of point B from point O$?$c c$=\_$ m $($no work required$)$

d$.$ What is the magnitude of the horizontal component of force F$?$ Fx $=\_\_\_$ N $($show your work$)$

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Magnitudes and correct directions of the vertical and horizontal components of the given inclined force,

$-$ Reaction forces at A with their correct directions

Calculate for all the reaction force components at A so that there is equilibrium. Math check is optional.

Ax $=\_$ N $($no work required$)$

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Question $5$: $(6$ points$)$

Q$5.$ Determine the moment reaction force at the support of the given beam. $(6$ marks

a$.$ Draw the complete FBD of the beam by using the given diagram on your worksheet. Please label completely including the horizontal and vertical components of force P and the following information assigned to you to complete the question. $\backslash (\backslash$mathrm$\{$P$\}=\backslash$mathbf$\{4.6\}\backslash$mathrm$\{$kN$\}\backslash$quad $\backslash$mathrm$\{$w$\}=16\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )$

b$.$ Determine the moment reaction force at the support. Math check is optional.

Just entert the answer to the requived tens below.

Distance of $\backslash ($ R $\backslash )$ from the

the

Magnitude of the horizontal component of P Px $\backslash (\{\}\_\{-\backslash$mathrm$\{$mN$\}\}^\{\backslash$mathrm$\{$kN$\}\}\backslash )$

Moment reaction force at the support, $\backslash (\backslash$mathrm$\{$A$\}\_\{$m$\}=\backslash )\backslash (\{\}\_\{$k N$\}^\{$k N$\}\backslash )$

Divection $\backslash (=\backslash )$ kN$.$m