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The telescoping arm ABC is used to raise a worker to the elevation of overhead electric and telephone wires.  For the extension shown, the center of gravity of the 1400lb arm is located at point G.  The worker, the bucket, and the equipment attached to the bucket together weigh 450lb and have combined center of gravity C.  Determine the force exerted at B by the hydraulic cylinder BD when theta = 35 degrees.

The telescoping arm ABC is used to raise a worker to the elevation of overhead electric and telephone wires.  For the extension shown, the center of gravity of the 1400lb arm is located at point G.  The worker, the bucket, and the equipment attached to the bucket together weigh 450lb and have combined center of gravity C.  Determine the force exerted at B by the hydraulic cylinder BD when theta = 35 degrees.

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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The telescoping arm ABC is used to raise a worker to the elevation of overhead electric and telephone wires.  For the extension shown, the center of gravity of the 1400lb arm is located at point G.  The worker, the bucket, and the equipment attached to the bucket together weigh 450lb and have combined center of gravity C.  Determine the force exerted at B by the hydraulic cylinder BD when theta = 35 degrees. 

The image depicts a diagram of a utility truck equipped with an articulated boom lift. This is often used for maintenance or construction tasks that require access to elevated areas. ### Components and Measurements: - **Boom Sections:** - The boom consists of two main sections. The lower section (A) is connected by a pivot to the truck, while the upper section (B) extends further, reaching the bucket (C) where a worker can stand. - **Measurements:** - The height from the ground to the pivot point (D) of the boom is 3 feet. - The lower boom section (A) extends 6 feet horizontally. - The upper boom section (B) extends 3 feet horizontally from its pivot with the lower section. - The total length from the base of the pivot to the end of the bucket (C) is 20 feet. - **Other Measurements:** - The truck bed height above the ground is 1.5 feet. - **Angle:** - The angle (θ) is shown between the horizontal plane and the upper boom section (B), indicating the lifting position. ### Diagram Explanation: - The diagram showcases the structure and function of the utility truck's boom lift mechanism. It features various dimensions vital for calculating reach, height, and stability. - These dimensions are essential for tasks such as positioning the boom to ensure it reaches the desired height within safety guidelines. - The angle θ is crucial for understanding how elevation changes with different boom positions. This schematic representation aids in teaching the principles of mechanical leverage, angles, and height adjustments essential for operating such equipment safely and efficiently.
Transcribed Image Text:The image depicts a diagram of a utility truck equipped with an articulated boom lift. This is often used for maintenance or construction tasks that require access to elevated areas. ### Components and Measurements: - **Boom Sections:** - The boom consists of two main sections. The lower section (A) is connected by a pivot to the truck, while the upper section (B) extends further, reaching the bucket (C) where a worker can stand. - **Measurements:** - The height from the ground to the pivot point (D) of the boom is 3 feet. - The lower boom section (A) extends 6 feet horizontally. - The upper boom section (B) extends 3 feet horizontally from its pivot with the lower section. - The total length from the base of the pivot to the end of the bucket (C) is 20 feet. - **Other Measurements:** - The truck bed height above the ground is 1.5 feet. - **Angle:** - The angle (θ) is shown between the horizontal plane and the upper boom section (B), indicating the lifting position. ### Diagram Explanation: - The diagram showcases the structure and function of the utility truck's boom lift mechanism. It features various dimensions vital for calculating reach, height, and stability. - These dimensions are essential for tasks such as positioning the boom to ensure it reaches the desired height within safety guidelines. - The angle θ is crucial for understanding how elevation changes with different boom positions. This schematic representation aids in teaching the principles of mechanical leverage, angles, and height adjustments essential for operating such equipment safely and efficiently.
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