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Detailed Solution Demonstration
Explanation Unlocked
Step 1: Free Body Diagram
First, we isolate the truss and apply the equilibrium equations to find the reactions at the supports A and B. Summing the moments about point A allows us to solve for By.
Step 2: Method of Joints (Node C)
Summing forces in the y-direction at joint C gives the internal force of member CD. Since the external load pushes downward, CD must be in tension to maintain equilibrium.
Final Answer: F_CD = 4.5 kN (Tension)
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