Question 6.125: Determine the horizontal and vertical components of force th...
Determine the horizontal and vertical components of force that pins A and B exert on the two-member frame. Set F = 500 N.
Member AC:
⤹ +\Sigma M_A=0 ; \quad-600(0.75)-C_y\left(1.5 \cos 60^{\circ}\right)+C_x\left(1.5 \sin 60^{\circ}\right)=0Member CB:
⤹ +\Sigma M_B=0 ; \quad-C_x(1)-C_y(1)+500(1)=0Solving,
C_x=402.6 \mathrm{~N}
C_y=97.4 \mathrm{~N}
Member AC:
\overset{+}\longrightarrow {}\Sigma F_x=0 ; \quad-A_x+600 \sin 60^{\circ}-402.6=0A_x=117 \mathrm{~N}
+↑\Sigma F_y=0 ; \quad A_y-600 \cos 60^{\circ}-97.4=0A_y=397 \mathrm{~N}
Member CB:
\overset{+}\longrightarrow {}\Sigma F_x=0 ; \quad 402.6-500+B_x=0B_x=97.4 \mathrm{~N}
+↑\Sigma F_y=0 ; \quad-B_y+97.4=0B_y=97.4 \mathrm{~N}
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