## Step-by-Step Solution Let's break down the process for sketching the **half-section view** and the **cutting plane** for both objects shown. --- ### **1. Understanding the Views** - **Left Object:** - **Top view**: Rectangular with three circles (center and two side holes). - **Front view**: Shows the height and the internal features with hidden lines. - **Right Object:** - **Top view**: Two concentric circles (cylindrical object with a hole). - **Front view**: Shows a central hole and an internal stepped feature. --- ### **2. Drawing the Cutting Plane** A **half-section** is made by imagining a vertical plane cutting through the center of the object, removing one quarter and showing the interior on one half, and the exterior on the other. #### **Left Object** - The cutting plane should pass vertically through the center of the object. - On the top view, draw a thick dashed line (cutting plane) vertically through the center, labeled "A-A". #### **Right Object** - Similarly, the cutting plane passes vertically through the center. - Draw a thick dashed line on the top view, vertically through the center, also labeled "A-A". --- ### **3. Sketching the Half-Section View** #### **Left Object** 1. **Draw the Front View Outline:** Start with the outer rectangle as in the front view. 2. **Left Half (Exterior):** - Show as normal (no section lines, just visible lines). 3. **Right Half (Sectioned):** - Show the interior features by removing the right quarter. - Use section lines (45-degree hatch) to indicate the solid areas cut by the plane. - Reveal the internal circles as solid outlines, with the section lining on the solid material. - Holes appear as open circles (no section lining inside holes). 4. **Middle Hole:** - On the right half, show the cross-section of the large central hole. - Small side holes also revealed in section. #### **Right Object** 1. **Draw the Front View Outline:** Use the existing front view as a base. 2. **Left Half (Exterior):** - Show as normal. 3. **Right Half (Sectioned):** - Show the cross-section of the cylindrical features. - Use section lining to indicate cut areas. - Show the inner and outer diameters as solid lines in the sectioned half. - Any holes are shown as unlined areas. --- ### **4. Final Answer: Half-Section Views** Below is a textual representation. (Sketch on your grid accordingly.) #### **Left Object (Half-Section Front View)** ``` |--------------------------| | | | | <-- Top edge |---------|--------|-------| | | | | Left: exterior, Right: sectioned | | | | Central hole shown as open circle | | | | Section lines at 45° in solid areas |--------------------------| ``` - Left half: normal view. - Right half: sectioned, with hatch lines. #### **Right Object (Half-Section Front View)** ``` |------------------| | ____ | <-- Outer diameter | | | | <-- Inner hole | |----| | | | | | Left: exterior, Right: sectioned | |____| | Section lines in solid area |------------------| ``` - Left half: normal. - Right half: sectioned, showing stepped feature and hatch lines. --- ### **Summary Table** | Object | Draw Cutting Plane | Draw Half-Section View | |--------------|-------------------|-----------------------------------| | Left Object | Vertical, center | Left: normal, Right: sectioned | | Right Object | Vertical, center | Left: normal, Right: sectioned | --- ### **Important Notes:** - Always use **hatch lines** at 45° in solid areas of the sectioned half. - Do **not** hatch holes or empty spaces. - The **cutting plane** should be clearly indicated and labeled (e.g., A-A). --- #### **Visual Example** *(You should draw this on your grid for full credit!)* - **Cutting plane**: Thick dashed line in top view, labeled A-A. - **Half-section front view**: Left half normal, right half sectioned with hatching. --- If you need a hand-drawn simulation of the solution, let me know!