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To solve this problem, we need to determine the force in each member of the truss and identify whether the members are in tension or compression.

### Step-by-Step Solution

1. **Free Body Diagram (FBD) and Support Reactions:**
   - The truss is supported at point \(A\) (a pinned support) and point \(E\) (a roller support). We should start by analyzing the reactions at these supports.
   - There is a vertical downward load of \(8 \text{ kN}\) at point \(C\).

2. **Determine Reactions at Supports:**
   - Sum of forces in the horizontal and vertical directions must equal zero.
   - Sum of moments about one of the supports (typically \(A\) or \(E\)) should also equal zero to maintain equilibrium.

3. **Analyzing Each Joint (Method of Joints):**
   - After determining the support reactions, we analyze each joint to find the forces in each member. The method of joints requires summing the forces in the \(x\)- and \(y\)-directions at each joint and setting them to zero.
   - For each joint, we label forces as either tension (pulling away from the joint) or compression (pushing towards the joint).

4. **Classify Members as Tension or Compression:**
   - Based on the direction of each force, we determine whether each member is in tension or compression.

Would you like a detailed breakdown of each step, or would you prefer just the final results for the forces and classification of each member? 

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### Follow-up Questions for Deeper Understanding

1. What is the significance of using the method of joints in truss analysis?
2. How does one distinguish between tension and compression in truss members?
3. Why is it necessary to consider moments when calculating support reactions in trusses?
4. What are the advantages of using a truss structure in engineering?
5. How would the analysis change if there were additional loads applied on different joints?

### Tip

In truss analysis, it's helpful to check the geometry and symmetry of the structure, as symmetrical loads on symmetrical structures often lead to simplified calculations due to balanced forces.

Determine the force in each member of the truss and state if the members are in tension or compression.

Learn how to analyze a truss structure to determine the forces in each member and classify them as tension or compression. This problem covers fundamental statics concepts and equilibrium equations, suitable for engineering students.

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