### Problem Description:The diagram depicts a jib crane supported by a pin at point C and a rod labeled AB. The setup is described as follows:- The rod AB is capable of withstanding a maximum tension of 40 kN.- There is a load with a mass of 2 Mg (megagrams), and its center of mass is located at point G.- The task is to determine the maximum allowable distance \( x \) and the corresponding horizontal and vertical components of the reaction at point C.### Diagram Explanation:- **Vertical Support (Left Side):** - A vertical support structure is shown with a height of 3.2 meters. - Point C, where the pin is located, is attached to this vertical structure.- **Horizontal Beam (Bottom):** - A horizontal beam is shown extending from point C. - A segment on the beam is marked from C to B with a length of 0.2 meters. - **Rod AB:** - The rod extends diagonally from point A (attached to the vertical support, 4 meters above C) to point B (on the horizontal beam). The rod’s length connects these two points forming a diagonal.- **Load at G:** - A load suspended at point D is shown on the beam, directly below point B, at a distance of \( x \) from point C. - The center of mass of the load is denoted as G.### Calculation Requirements:1. **Maximum Allowable Distance \( x \):** - Determine the distance \( x \) where the load can be placed without exceeding the rod's maximum tension capacity of 40 kN.2. **Reaction Components at C:** - Calculate both the horizontal and vertical components of the reaction at point C when the load is positioned at its maximum allowable distance \( x \).This configuration and set of calculations involve understanding the equilibrium conditions where the forces and moments about point C are analyzed. The focus is on ensuring that the forces within the system do not exceed the given maximum tension capacity, while also identifying how the load's position affects the reactions at the pin support.

Answered: Image /qna-images/answer/af46297e-6abd-42b3-886c-97db35efff91.jpg

The jib crane is supported by a pin at C and rod AB. The rod can withstand a maximum tension of 40 kN. If the load has a mass of 2 Mg, with its center of mass located at G, determine its maximum allowable distance x and the corresponding horizontal and vertical components of reaction at C.

The jib crane is supported by a pin at C and rod AB. The rod can withstand a maximum tension of 40 kN. If the load has a mass of 2 Mg, with its center of mass located at G, determine its maximum allowable distance x and the corresponding horizontal and vertical components of reaction at 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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Question

### Problem Description:

The diagram depicts a jib crane supported by a pin at point C and a rod labeled AB. The setup is described as follows:

- The rod AB is capable of withstanding a maximum tension of 40 kN.
- There is a load with a mass of 2 Mg (megagrams), and its center of mass is located at point G.
- The task is to determine the maximum allowable distance \( x \) and the corresponding horizontal and vertical components of the reaction at point C.

### Diagram Explanation:

- **Vertical Support (Left Side):**
- A vertical support structure is shown with a height of 3.2 meters.
- Point C, where the pin is located, is attached to this vertical structure.

- **Horizontal Beam (Bottom):**
- A horizontal beam is shown extending from point C.
- A segment on the beam is marked from C to B with a length of 0.2 meters.

- **Rod AB:**
- The rod extends diagonally from point A (attached to the vertical support, 4 meters above C) to point B (on the horizontal beam). The rod’s length connects these two points forming a diagonal.

- **Load at G:**
- A load suspended at point D is shown on the beam, directly below point B, at a distance of \( x \) from point C.
- The center of mass of the load is denoted as G.

### Calculation Requirements:

1. **Maximum Allowable Distance \( x \):**
- Determine the distance \( x \) where the load can be placed without exceeding the rod's maximum tension capacity of 40 kN.

2. **Reaction Components at C:**
- Calculate both the horizontal and vertical components of the reaction at point C when the load is positioned at its maximum allowable distance \( x \).

This configuration and set of calculations involve understanding the equilibrium conditions where the forces and moments about point C are analyzed. The focus is on ensuring that the forces within the system do not exceed the given maximum tension capacity, while also identifying how the load's position affects the reactions at the pin support.

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