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F, b Fig-3

F, b Fig-3

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 diagram, labeled as "Fig-3," illustrates a structural setup involving two rods and a ceiling connection. - Rod \( AB \) is vertically aligned and pivots at point \( A \), attached to the ceiling. It is divided into two segments with lengths \( a \) and \( b \). - Point \( B \) represents the junction between rods \( AB \) and \( BC \). - Rod \( BC \) extends vertically downward from point \( B \) to point \( C \). - A perpendicular force, \( F_1 \), is applied at point \( C \) pointing downward. - Rod \( AD \) is diagonal, connecting the ceiling at point \( D \) to point \( A \), horizontally spaced by a length \( c \). - Points \( A \) and \( D \) are fixed to the ceiling, with a horizontal separation defined by length \( c \). This setup is typically analyzed in contexts involving static equilibrium, force distribution, and mechanical advantage.
Transcribed Image Text:The diagram, labeled as "Fig-3," illustrates a structural setup involving two rods and a ceiling connection. - Rod \( AB \) is vertically aligned and pivots at point \( A \), attached to the ceiling. It is divided into two segments with lengths \( a \) and \( b \). - Point \( B \) represents the junction between rods \( AB \) and \( BC \). - Rod \( BC \) extends vertically downward from point \( B \) to point \( C \). - A perpendicular force, \( F_1 \), is applied at point \( C \) pointing downward. - Rod \( AD \) is diagonal, connecting the ceiling at point \( D \) to point \( A \), horizontally spaced by a length \( c \). - Points \( A \) and \( D \) are fixed to the ceiling, with a horizontal separation defined by length \( c \). This setup is typically analyzed in contexts involving static equilibrium, force distribution, and mechanical advantage.
Consider the bracket shown in Fig-3. If: - \( F_1 = 10 \, \text{lb} \, @ \, -90^\circ \) - \( a = 2 \, \text{ft} \) - \( b = 4 \, \text{ft} \) - \( c = 1 \, \text{ft} \) Then, what is the magnitude of the **horizontal reaction** at point 'A'? - ○ \( 0 \, \text{lb} \) - ○ \( 10 \, \text{lb} \) - ○ \( 14.2 \, \text{lb} \) - ○ \( 20 \, \text{lb} \) - ○ \( 26.4 \, \text{lb} \) - ○ \( 30 \, \text{lb} \) - ○ \( 32.3 \, \text{lb} \) - ○ \( 40 \, \text{lb} \) - ○ \( 45 \, \text{lb} \) - ○ \( 50 \, \text{lb} \) - ○ \( 54.1 \, \text{lb} \) - ○ \( 60 \, \text{lb} \) - ○ \( 67.1 \, \text{lb} \) - ○ \( 70 \, \text{lb} \) - ○ \( 72.7 \, \text{lb} \)
Transcribed Image Text:Consider the bracket shown in Fig-3. If: - \( F_1 = 10 \, \text{lb} \, @ \, -90^\circ \) - \( a = 2 \, \text{ft} \) - \( b = 4 \, \text{ft} \) - \( c = 1 \, \text{ft} \) Then, what is the magnitude of the **horizontal reaction** at point 'A'? - ○ \( 0 \, \text{lb} \) - ○ \( 10 \, \text{lb} \) - ○ \( 14.2 \, \text{lb} \) - ○ \( 20 \, \text{lb} \) - ○ \( 26.4 \, \text{lb} \) - ○ \( 30 \, \text{lb} \) - ○ \( 32.3 \, \text{lb} \) - ○ \( 40 \, \text{lb} \) - ○ \( 45 \, \text{lb} \) - ○ \( 50 \, \text{lb} \) - ○ \( 54.1 \, \text{lb} \) - ○ \( 60 \, \text{lb} \) - ○ \( 67.1 \, \text{lb} \) - ○ \( 70 \, \text{lb} \) - ○ \( 72.7 \, \text{lb} \)
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