Consider the two$-$member frame. Member $AE$ is connected at $C$ to member $BD$ by a pin connection. The cylinder weighs $200N.$ Determine

a$.$ the loads acting on the frame at $D$ and $E.$

b$.$ the loads of member $AE$ acting on member $BD$ at $C.$

c$.$ the loads of member $BD$ acting on member $AE$ at $C.$

Note: Book problem has typo in its numbering.

$*$Hint: The most important part of this problem is drawing the free body diagrams for AE and BD $.$ Then you can get $C_x$ and $C_y$ by taking the sum of moments about point D and the sum of the moments about point E and using the two resulting equations to solve for $C_x$ and $C_y.$ Then do the sum of forces in X and Y to get the support forces at D and E $.$

$[$Ans:

$($a$)F_E=(40i+400j)N,||F_E||=402N($support force at E$),$

$F_D=(-40i-200j)N,||F_D||=204N($support force at D$)$

$($b$)F_C=(-240i-400j)N,||F_C||=466N($force of AE acting on BD at C$)$

$($c$)F_C=(240i+400j)N,||F_C||=466N($force of BD acting on AE at C $)]$