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The jib crane is supported by a pin at C and rod AB. The rod can withstand a maximum tension of 36 kN. If the load has a mass of 2 Mg, with its center of mass located at G, determine its maximum allowable distance x measured in meters (include at least one decimal point).

The jib crane is supported by a pin at C and rod AB. The rod can withstand a maximum tension of 36 kN. If the load has a mass of 2 Mg, with its center of mass located at G, determine its maximum allowable distance x measured in meters (include at least one decimal point).

Elements Of Electromagnetics
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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**Jib Crane Analysis** The diagram illustrates a jib crane supported by a pin at point C and a rod AB. - **Configuration Details:** - The rod AB is 4 meters in length. - A vertical support post is 3.2 meters high. - The horizontal beam, CB, extends from the vertical support to point B with a small horizontal offset of 0.2 meters at point B. - The load is suspended by a cable from point D, with its center of mass located at point G. - **Load Specifications:** - Maximum tension the rod can withstand: 36 kN. - Load mass: 2 Mg (megagrams). - **Task:** - Determine the maximum allowable horizontal distance \( x \), measured from point C to the load application at D, ensuring the rod does not exceed its tension capacity. - **Graphical Explanation:** - The diagram includes dimensions clearly marked to scale. - Point A denotes the connection of rod AB to a vertical wall or support. - Tension is applied from A to B and resolved through angles created by the geometry. Using these details, the task involves performing equilibrium and tension calculations to solve for the distance \( x \), ensuring structural integrity while accounting for the tension limit in rod AB.
Transcribed Image Text:**Jib Crane Analysis** The diagram illustrates a jib crane supported by a pin at point C and a rod AB. - **Configuration Details:** - The rod AB is 4 meters in length. - A vertical support post is 3.2 meters high. - The horizontal beam, CB, extends from the vertical support to point B with a small horizontal offset of 0.2 meters at point B. - The load is suspended by a cable from point D, with its center of mass located at point G. - **Load Specifications:** - Maximum tension the rod can withstand: 36 kN. - Load mass: 2 Mg (megagrams). - **Task:** - Determine the maximum allowable horizontal distance \( x \), measured from point C to the load application at D, ensuring the rod does not exceed its tension capacity. - **Graphical Explanation:** - The diagram includes dimensions clearly marked to scale. - Point A denotes the connection of rod AB to a vertical wall or support. - Tension is applied from A to B and resolved through angles created by the geometry. Using these details, the task involves performing equilibrium and tension calculations to solve for the distance \( x \), ensuring structural integrity while accounting for the tension limit in rod AB.
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