Question 6.124: Determine the horizontal and vertical components of force th...
Determine the horizontal and vertical components of force that the pins A and B exert on the two-member frame. Set F = 0.
CB is a two-force member.
Member AC:
⤹ +\Sigma M_A=0 ; \quad-600(0.75)+1.5\left(F_{C B} \sin 75^{\circ}\right)=0F_{C B}=310.6
Thus,
B_x=B_y=310.6\left(\frac{1}{\sqrt{2}}\right)=220 \mathrm{~N}
\overset{+}\longrightarrow {} \Sigma F_x=0 ; \quad-A_x+600 \sin 60^{\circ}-310.6 \cos 45^{\circ}=0A_x=300 \mathrm{~N}
+↑ \Sigma F_y=0 ; \quad A_y-600 \cos 60^{\circ}+310.6 \sin 45^{\circ}=0A_y=80.4 \mathrm{~N}
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