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Four pegs of the same diameter are attached to a board as shown. Two strings are passed around the pegs and pulled with the forces indicated. Determine the diameter of the pegs knowing that the resultant couple applied to the board is 1132.5 lb·in. counterclockwise.

Four pegs of the same diameter are attached to a board as shown. Two strings are passed around the pegs and pulled with the forces indicated. Determine the diameter of the pegs knowing that the resultant couple applied to the board is 1132.5 lb·in. counterclockwise.

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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Four pegs of the same diameter are attached to a board as shown. Two strings are passed around the pegs and pulled with the forces indicated. Determine the diameter of the pegs knowing that the resultant couple applied to the board is 1132.5 lb·in. counterclockwise.

The image shows a rectangular block with four forces applied at its corners. ### Description: - **Rectangle Dimensions:** - Vertical side: 9 inches - Horizontal side: 12 inches ### Points and Forces: - **Point A:** - Location: Top left corner - Force: 60 lb to the left (horizontally) - **Point B:** - Location: Top right corner - Force: 40 lb upwards (vertically) - **Point C:** - Location: Bottom left corner - Force: 40 lb downwards (vertically) - **Point D:** - Location: Bottom right corner - Force: 60 lb to the right (horizontally) ### Additional Details: - Diagonal lines (AC and BD) indicate connections or possible vectors of interaction between opposite corners. - The forces are distributed symmetrically in the horizontal direction, with opposing forces of equal magnitude (60 lb) at points A and D. Similarly, in the vertical direction, there are opposing forces of equal magnitude (40 lb) at points B and C. This setup can be used to study equilibrium conditions, force balance, or mechanical behavior of structures under combined loading conditions.
Transcribed Image Text:The image shows a rectangular block with four forces applied at its corners. ### Description: - **Rectangle Dimensions:** - Vertical side: 9 inches - Horizontal side: 12 inches ### Points and Forces: - **Point A:** - Location: Top left corner - Force: 60 lb to the left (horizontally) - **Point B:** - Location: Top right corner - Force: 40 lb upwards (vertically) - **Point C:** - Location: Bottom left corner - Force: 40 lb downwards (vertically) - **Point D:** - Location: Bottom right corner - Force: 60 lb to the right (horizontally) ### Additional Details: - Diagonal lines (AC and BD) indicate connections or possible vectors of interaction between opposite corners. - The forces are distributed symmetrically in the horizontal direction, with opposing forces of equal magnitude (60 lb) at points A and D. Similarly, in the vertical direction, there are opposing forces of equal magnitude (40 lb) at points B and C. This setup can be used to study equilibrium conditions, force balance, or mechanical behavior of structures under combined loading conditions.
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