**Problem Statement**Bar \( ABC \) rests against a smooth surface at end \( C \) and is supported at end \( A \) with a ball-and-socket joint. The cable at \( B \) is attached midway between the ends of the bar. Determine the tension in the cable \( BD \).1. **Free Body Diagram and Setup:** - The bar \( ABC \) is positioned with end \( A \) elevated and supported by a ball-and-socket joint. - End \( C \) is resting on a smooth surface, allowing no frictional forces. - A cable \( BD \) is connected at point \( B \).2. **Visual Diagrams:** - **Diagram 1 (on the left):** - Shows the bar \( ABC \) in isolation. - Ends are labeled, with \( A \) at the top, \( B \) at the midpoint, and \( C \) at the bottom resting on the surface. - **Diagram 2 (on the right):** - A three-dimensional representation. - \( A \) is positioned above the surface along the z-axis, at a height of 1200 mm (600 mm + 600 mm). - \( C \) is on the x-y plane. - The cable joins the bar at \( B \) and extends to \( D \), a distance of 400 mm from both the x and y axes’ origin at \( C \). - The bar \( ABC \) is inclined, with an 800 N force acting vertically downward at point \( B \).3. **Tasks:** - Draw the free body diagram of the bar \( ABC \). - **Determine the tension in cable \( BE \)** and analyze the reactions at points \( A \) and \( C \).This setup requires resolving the forces acting on the structure considering equilibrium conditions.

Answered: Image /qna-images/answer/9b1cab6f-5a94-4c5e-8d79-e5b89de69269.jpg

Bar ABC rests against a smooth surface at end C and is supported at end A with a ball-and-socket joint. The cable at B is attached midway between the ends of the bar. Determine the tension in the cable BD. Draw the free body diagram of bar АВС. 600 mm 600 mm 800 N 400 mm 400 mm 400 mm 400 mm 800 mm Determine the tension in cable BE and the reactions at A and C.

Bar ABC rests against a smooth surface at end C and is supported at end A with a ball-and-socket joint. The cable at B is attached midway between the ends of the bar. Determine the tension in the cable BD. Draw the free body diagram of bar АВС. 600 mm 600 mm 800 N 400 mm 400 mm 400 mm 400 mm 800 mm Determine the tension in cable BE and the reactions at A and C.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

**Problem Statement**

Bar \( ABC \) rests against a smooth surface at end \( C \) and is supported at end \( A \) with a ball-and-socket joint. The cable at \( B \) is attached midway between the ends of the bar. Determine the tension in the cable \( BD \).

1. **Free Body Diagram and Setup:**

- The bar \( ABC \) is positioned with end \( A \) elevated and supported by a ball-and-socket joint.
- End \( C \) is resting on a smooth surface, allowing no frictional forces.
- A cable \( BD \) is connected at point \( B \).

2. **Visual Diagrams:**

- **Diagram 1 (on the left):**
- Shows the bar \( ABC \) in isolation.
- Ends are labeled, with \( A \) at the top, \( B \) at the midpoint, and \( C \) at the bottom resting on the surface.

- **Diagram 2 (on the right):**
- A three-dimensional representation.
- \( A \) is positioned above the surface along the z-axis, at a height of 1200 mm (600 mm + 600 mm).
- \( C \) is on the x-y plane.
- The cable joins the bar at \( B \) and extends to \( D \), a distance of 400 mm from both the x and y axes’ origin at \( C \).
- The bar \( ABC \) is inclined, with an 800 N force acting vertically downward at point \( B \).

3. **Tasks:**

- Draw the free body diagram of the bar \( ABC \).
- **Determine the tension in cable \( BE \)** and analyze the reactions at points \( A \) and \( C \).

This setup requires resolving the forces acting on the structure considering equilibrium conditions.

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