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The vertical and horizontal poles at the traffic-light assembly are erected first. Determine the additional force and moment reactions at the base O caused by the addition of the three 114-lb traffic signals B, C, and D. Report your answers as a force magnitude and a moment magnitude.

The vertical and horizontal poles at the traffic-light assembly are erected first. Determine the additional force and moment reactions at the base O caused by the addition of the three 114-lb traffic signals B, C, and D. Report your answers as a force magnitude and a moment magnitude.

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 problem involves a traffic-light assembly with vertical and horizontal poles. The task is to determine the additional force and moment reactions at the base, labeled as point O, caused by the addition of three 114-lb traffic signals positioned at points B, C, and D. The results are to be reported as a force magnitude and a moment magnitude. Diagram Explanation: - The diagram shows a vertical pole with an arm extending horizontally, supporting three traffic signals. - Signals B and D are located on either end of the horizontal arm, each weighing 114 lb. Signal C is in the middle. - The distances from point A (the vertical pole) to each signal are given: 27 feet to B and C, and 35 feet to D. - The coordinate axes labeled x, y, and z help in visualizing the spatial arrangement. Solutions: - Force at base O: 352 lb - Moment at base O (\(M_O\)): 10,059.17 lb-ft These calculations consider the combined effects of the weights of the traffic signals and their distances from the base.
Transcribed Image Text:The problem involves a traffic-light assembly with vertical and horizontal poles. The task is to determine the additional force and moment reactions at the base, labeled as point O, caused by the addition of three 114-lb traffic signals positioned at points B, C, and D. The results are to be reported as a force magnitude and a moment magnitude. Diagram Explanation: - The diagram shows a vertical pole with an arm extending horizontally, supporting three traffic signals. - Signals B and D are located on either end of the horizontal arm, each weighing 114 lb. Signal C is in the middle. - The distances from point A (the vertical pole) to each signal are given: 27 feet to B and C, and 35 feet to D. - The coordinate axes labeled x, y, and z help in visualizing the spatial arrangement. Solutions: - Force at base O: 352 lb - Moment at base O (\(M_O\)): 10,059.17 lb-ft These calculations consider the combined effects of the weights of the traffic signals and their distances from the base.
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