Problem 작용하는 힘의 크기

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그림의 $AC$ , $BC$ 에 작용하는 힘 $F_{AC}$ , $F_{BC}$ 의 크기는?

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$F_{AC}=5\, t on \; ,\; F_{BC}=8.66\, t on$

$F_{AC}=10 \, t on \; ,\; F_{BC}=8.66 \,t on$

$F_{AC}=8.66 \,t on \; ,\; F_{BC}=5\, t on$

$F_{AC}=5\, t on \; ,\; F_{BC}=17.32\, t on$

Solution

$\sum F_{y}=0 \;: \; F_{AC}\sin 30^{\circ}+F_{BC}\sin 60^{\circ}-10=0$

$\sum F_{x}=0 \;: \; -F_{AC}\cos 30^{\circ}+F_{BC}\cos 60^{\circ}=0$

$F_{AC}=5.0 \;,\; F_{BC}=8.660$

Correct answer 1