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The image below shows a beam subject to two couples, F₁ = 630 N and F2 = 760 N. (Figure 4) 1.30 m, h = 0.15 m, 0 = 45°, and = 32°. The dimensions are *₁ = 1.40 m, 2 = What is the net moment on the beam due to the two couples? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s)

The image below shows a beam subject to two couples, F₁ = 630 N and F2 = 760 N. (Figure 4) 1.30 m, h = 0.15 m, 0 = 45°, and = 32°. The dimensions are *₁ = 1.40 m, 2 = What is the net moment on the beam due to the two couples? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s)

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 illustrates a beam subjected to two forces, \( F_1 \) and \( F_2 \), applied at points \( A \) and \( B \) along the beam. The beam is horizontal and fixed at point \( O \) on the right end, while the forces are acting at angles. - **Beam and Coordinates:** - The beam is aligned along the x-axis, with point \( O \) affixed on the right. - The vertical distance from the beam to the y-axis is labeled as \( h \). - **Points and Distances:** - Point \( A \) is a distance \( x_1 \) from the fixed end \( O \). - Point \( B \) is a distance \( x_2 \) from the point \( A \). - **Forces:** - At point \( A \), the forces \( F_1 \) and \( F_2 \) are applied at angles \( \theta \) and \( \phi \), respectively. The force \( F_1 \) is applied downward and to the right, whereas \( F_2 \) is directed downward and to the left. - Similarly, at point \( B \), the forces \( F_1 \) and \( F_2 \) are applied at angles \( \theta \) and \( \phi \). Here, \( F_1 \) is directed upward and to the right, and \( F_2 \) is directed upward and to the left. - **Angles:** - The angle \( \theta \) is measured from the horizontal beam to the direction of force \( F_1 \). - The angle \( \phi \) is measured from the horizontal to the direction of force \( F_2 \). This setup is typically used to analyze the effects of forces on structural elements, examining the resulting stresses and moments in the beam due to the applied forces. Understanding these aspects is crucial in designing safe and efficient structures.
Transcribed Image Text:The diagram illustrates a beam subjected to two forces, \( F_1 \) and \( F_2 \), applied at points \( A \) and \( B \) along the beam. The beam is horizontal and fixed at point \( O \) on the right end, while the forces are acting at angles. - **Beam and Coordinates:** - The beam is aligned along the x-axis, with point \( O \) affixed on the right. - The vertical distance from the beam to the y-axis is labeled as \( h \). - **Points and Distances:** - Point \( A \) is a distance \( x_1 \) from the fixed end \( O \). - Point \( B \) is a distance \( x_2 \) from the point \( A \). - **Forces:** - At point \( A \), the forces \( F_1 \) and \( F_2 \) are applied at angles \( \theta \) and \( \phi \), respectively. The force \( F_1 \) is applied downward and to the right, whereas \( F_2 \) is directed downward and to the left. - Similarly, at point \( B \), the forces \( F_1 \) and \( F_2 \) are applied at angles \( \theta \) and \( \phi \). Here, \( F_1 \) is directed upward and to the right, and \( F_2 \) is directed upward and to the left. - **Angles:** - The angle \( \theta \) is measured from the horizontal beam to the direction of force \( F_1 \). - The angle \( \phi \) is measured from the horizontal to the direction of force \( F_2 \). This setup is typically used to analyze the effects of forces on structural elements, examining the resulting stresses and moments in the beam due to the applied forces. Understanding these aspects is crucial in designing safe and efficient structures.
The image below shows a beam subject to two couples, \( F_1 = 630 \, \text{N} \) and \( F_2 = 760 \, \text{N} \). (Dimensions are shown in Figure 4) The dimensions are \( x_1 = 1.40 \, \text{m}, \, x_2 = 1.30 \, \text{m}, \, h = 0.15 \, \text{m}, \, \theta = 45^\circ, \, \text{and} \, \phi = 32^\circ \). What is the net moment on the beam due to the two couples? **Express your answer to three significant figures and include the appropriate units.** \[ M_C = \] [Value] [Units] *View Available Hint(s)* This exercise involves calculating the net moment on a beam due to two applied force couples, using the given dimensions and angles.
Transcribed Image Text:The image below shows a beam subject to two couples, \( F_1 = 630 \, \text{N} \) and \( F_2 = 760 \, \text{N} \). (Dimensions are shown in Figure 4) The dimensions are \( x_1 = 1.40 \, \text{m}, \, x_2 = 1.30 \, \text{m}, \, h = 0.15 \, \text{m}, \, \theta = 45^\circ, \, \text{and} \, \phi = 32^\circ \). What is the net moment on the beam due to the two couples? **Express your answer to three significant figures and include the appropriate units.** \[ M_C = \] [Value] [Units] *View Available Hint(s)* This exercise involves calculating the net moment on a beam due to two applied force couples, using the given dimensions and angles.
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