change the force F to {30i+40j+80k} lb **Problem Statement:***4–32. If **F** = {50i + 60j + 30k} lb, determine the magnitude and coordinate direction angles of the moment of **F** about point A.**Diagram Description:**The diagram depicts a 3D coordinate system with a pipe structure that includes several segments and angles. - Point A is located at the origin where all three axes x, y, and z intersect. - From point A, a horizontal segment runs 1 ft along the x-axis, then turns 90 degrees to run 2 ft parallel to the y-axis. - At the end of this segment, the pipe extends upwards at a 45-degree angle for 3 ft towards point B.- Force **F** is applied at point B, extending outwards from the pipe.**Key Features:**- The coordinate axes are labeled x, y, and z.- The angle between the upward-extending pipe segment and the horizontal plane is 45 degrees.- The problem requires calculating the moment of force **F** about point A, which involves understanding the cross-product of vectors and the concept of moments in physics.

Answered: Image /qna-images/answer/c5f86a81-c520-41d9-9d49-7ca863b79bc9.jpg

*4-32. If F = {50i + 60j + 30k} lb, determine the magnitude and coordinate direction angles of the moment of F about point A. X 1 ft N yd O jaiog juod's 50101 ani ad boobong 20 toov nie1786 28 A -2 ft- 3 ft 45° B F -y

*4-32. If F = {50i + 60j + 30k} lb, determine the magnitude and coordinate direction angles of the moment of F about point A. X 1 ft N yd O jaiog juod's 50101 ani ad boobong 20 toov nie1786 28 A -2 ft- 3 ft 45° B F -y

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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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

change the force F to {30i+40j+80k} lb

**Problem Statement:**

*4–32. If **F** = {50i + 60j + 30k} lb, determine the magnitude and coordinate direction angles of the moment of **F** about point A.

**Diagram Description:**

The diagram depicts a 3D coordinate system with a pipe structure that includes several segments and angles.

- Point A is located at the origin where all three axes x, y, and z intersect.
- From point A, a horizontal segment runs 1 ft along the x-axis, then turns 90 degrees to run 2 ft parallel to the y-axis.
- At the end of this segment, the pipe extends upwards at a 45-degree angle for 3 ft towards point B.
- Force **F** is applied at point B, extending outwards from the pipe.

**Key Features:**

- The coordinate axes are labeled x, y, and z.
- The angle between the upward-extending pipe segment and the horizontal plane is 45 degrees.
- The problem requires calculating the moment of force **F** about point A, which involves understanding the cross-product of vectors and the concept of moments in physics.

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