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The force of F = 60 lb acts along the edge DB of the tetrahedron shown below.  Find the magnitude of the moment of this force about the edge CA. Express your answer in pound-feet to three significant figures.

The force of F = 60 lb acts along the edge DB of the tetrahedron shown below.  Find the magnitude of the moment of this force about the edge CA. Express your answer in pound-feet to three significant figures.

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 force of F = 60 lb acts along the edge DB of the tetrahedron shown below. 

Find the magnitude of the moment of this force about the edge CA.
Express your answer in pound-feet to three significant figures.
The image presents a three-dimensional geometric diagram that consists of a triangular pyramid positioned within a rectangular base, viewed in an XYZ coordinate system. ### Description: - **Coordinates:** - The base of the pyramid is on the XY plane. - Point A is located on the Y-axis, 5 ft from the origin along the positive Y-axis. - Point B is located 8 ft from point A along the Y-axis. - Points C and B are located 6 ft and 4 ft, respectively, from each other along the X-axis. - **Vertices & Measurements:** - **Vertex A:** Located at the intersection of Z-X plane and Y-axis. - **Vertex B:** Positioned on the X-Y plane, 5 ft from A along the Y-axis, and 10 ft from the origin. - **Vertex C:** On the X-Y plane, 4 ft from B along the X-axis. - **Vertex D:** Represents the apex of the pyramid, extending 15 ft upwards along the Z-axis from A. - **Pyramid:** - Two triangular faces are visible: the left face, extending between vertices A, C, and D; and the right face, between vertices A, B, and D. - The height of the pyramid (from A to D) is 15 ft, and it is marked perpendicular with a dashed line, denoted as F. This diagram is useful for understanding the relations of distance, height, and coordinate positioning in three-dimensional space.
Transcribed Image Text:The image presents a three-dimensional geometric diagram that consists of a triangular pyramid positioned within a rectangular base, viewed in an XYZ coordinate system. ### Description: - **Coordinates:** - The base of the pyramid is on the XY plane. - Point A is located on the Y-axis, 5 ft from the origin along the positive Y-axis. - Point B is located 8 ft from point A along the Y-axis. - Points C and B are located 6 ft and 4 ft, respectively, from each other along the X-axis. - **Vertices & Measurements:** - **Vertex A:** Located at the intersection of Z-X plane and Y-axis. - **Vertex B:** Positioned on the X-Y plane, 5 ft from A along the Y-axis, and 10 ft from the origin. - **Vertex C:** On the X-Y plane, 4 ft from B along the X-axis. - **Vertex D:** Represents the apex of the pyramid, extending 15 ft upwards along the Z-axis from A. - **Pyramid:** - Two triangular faces are visible: the left face, extending between vertices A, C, and D; and the right face, between vertices A, B, and D. - The height of the pyramid (from A to D) is 15 ft, and it is marked perpendicular with a dashed line, denoted as F. This diagram is useful for understanding the relations of distance, height, and coordinate positioning in three-dimensional space.
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