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The problem asks to:

1. **Find the forces on all members of the cantilever truss** when the applied load \( F = 4 \, \text{tons} \).
2. **State the horizontal and vertical components** of the pin reaction at point \( E \) and their directions.

We can begin by analyzing the truss using methods such as:

- **Method of Joints**: Solving each joint equilibrium separately to find the forces in the members.
- **Method of Sections**: Cutting through the truss to solve for internal forces directly.
- **Equilibrium conditions**: Summing forces and moments to zero at key points.

Here is a breakdown of the process for part (a):

### Given Data:
- Load \( F = 4 \, \text{tons} \).
- Angle between members of the truss is \( 10^\circ \).
- We need to find the forces in all members (AB, BC, BE, etc.).

### Equilibrium Equations:
For static equilibrium, we apply:
- \( \sum F_x = 0 \) (sum of horizontal forces).
- \( \sum F_y = 0 \) (sum of vertical forces).
- \( \sum M = 0 \) (sum of moments about a point).

Using these, we can solve for the unknown forces in the members and reactions at points \( E \) and \( A \).

Next steps would involve solving for the reactions at point \( E \) and finding forces in each member, starting from the joints where there are fewer unknowns.

Do you want me to go through the calculations for each member or explain further concepts? Here are 5 questions related to this:

1. What is the method of joints in truss analysis?
2. How do we use the method of sections to solve for forces in truss members?
3. What are the assumptions of a pin-jointed truss?
4. Why do we sum moments about a specific point in truss problems?
5. How can we determine if a truss member is in tension or compression?

**Tip:** Start solving at joints where only two unknown forces are present for simpler calculations.

Find the forces on all the members of the cantilever truss shown in the figure below when F=4 tons. Using values found in the analysis, state the horizontal and vertical components of the pin reaction at E and state the directions in which they act to maintain the truss in equilibrium.

Learn how to solve a cantilever truss problem with a 4-ton applied load. This example involves finding the forces in all members using equilibrium equations and the method of joints, followed by determining the horizontal and vertical components of the pin reaction at point E.

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