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The problem asks to sketch the free-body diagram for the bar in the system where a weight \( W \) is supported by a flexible cable and an inclined bar, which is pin-connected to a vertical wall. Here’s a detailed description of how to construct the free-body diagram:

### Step-by-Step Construction of Free-Body Diagram:

1. **Identify the forces acting on the bar:**
   - **Weight \( W \):** Acts vertically downward at point B.
   - **Tension in the cable \( T \):** Acts along the cable from point B, at an angle of \( 60^\circ \) to the horizontal.
   - **Reactions at the pin (Point A):** The pin support at the wall can exert both horizontal and vertical reaction forces. Let's label these as:
     - \( A_x \) for the horizontal reaction.
     - \( A_y \) for the vertical reaction.

2. **Force breakdown:**
   - The tension force \( T \) can be decomposed into horizontal and vertical components:
     - Horizontal component: \( T \cos(60^\circ) \)
     - Vertical component: \( T \sin(60^\circ) \)

3. **Reactions at the pin:**
   - Since the pin is the only support preventing the bar from moving horizontally and vertically, both \( A_x \) and \( A_y \) must balance the forces along those directions.
   
4. **Angles of the bar:**
   - The bar is inclined at \( 30^\circ \) to the horizontal, which means any forces acting along or perpendicular to the bar will be influenced by this angle.

### Diagram Elements:
1. A downward arrow at point B representing the weight \( W \).
2. An upward and rightward force arrow at point B, representing the tension \( T \) in the cable, angled \( 60^\circ \) from the horizontal.
3. Horizontal and vertical reaction forces at point A, denoted as \( A_x \) (horizontal) and \( A_y \) (vertical).

This setup ensures that the bar remains in static equilibrium under the action of the three forces: the weight, the cable tension, and the pin reactions.

Would you like to see a detailed solution or further explanation on equilibrium equations?

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### Related Questions:
1. How do you calculate the tension in the cable given the weight \( W \)?
2. What are the equilibrium conditions for this system?
3. How can you determine the reactions at the pin \( A \)?
4. What is the role of the angle of inclination (30°) in calculating forces?
5. How does the angle of the cable (60°) affect the force components?

#### Tip: 
For solving problems like this, always start by identifying all forces and breaking them into horizontal and vertical components before applying equilibrium equations.

A weight W is supported by a flexible cable and an inclined bar. The bar is pin-connected at a vertical wall. Sketch the free-body diagram for the bar.

Learn how to sketch the free-body diagram for an inclined bar supported by a flexible cable and a weight. This problem involves key concepts in statics, including force decomposition and equilibrium conditions, suitable for college-level engineering students.

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