**Problem Description:**Determine the x, y, z components of force and moment at point C in the pipe assembly. Neglect the weight of the pipe. The load acting at (0, 3.5 ft, 3 ft) is \[\mathbf{F_1} = \{-24\mathbf{i} - 10\mathbf{k}\} \, \text{lb}\]and \[\mathbf{M} = \{-30\mathbf{k}\} \, \text{lb} \cdot \text{ft}\]and at point (0, 3.5 ft, 0) \[\mathbf{F_2} = \{-80\mathbf{i}\} \, \text{lbs}\]**Diagram Explanation:**The diagram illustrates a three-dimensional pipe assembly with forces and moments acting on it. The pipe runs along three orthogonal axes: x, y, and z.- **Point A:** Located on the x-axis at x = 0, the pipe extends horizontally in the x-direction for 1.5 ft.- **Point C:** The pipe extends from Point A in the positive y-direction for 2 ft. It is the target point for calculating force and moment components.- **Force \( \mathbf{F_1} \):** - This force acts at the point (0, 3.5 ft, 3 ft) in the assembly. - The vector has components in the x-direction (-24 lb) and the z-direction (-10 lb).- **Moment \( \mathbf{M} \):** - A moment of -30 lb·ft acts around the vertical axis at (0, 3.5 ft, 3 ft).- **Force \( \mathbf{F_2} \):** - This force acts at point (0, 3.5 ft, 0) along the x-axis, with a magnitude of -80 lb.- **Vertical Pipe Segment:** - Extends 3 ft upwards along the z-axis from a point 1.5 ft down the x-axis and 2 ft down the y-axis.This system serves as a practical setting for analyzing forces and moments within mechanical structures, useful in educational contexts like physics or engineering problem-solving exercises.

Answered: Image /qna-images/answer/cf9e0822-5291-43a4-87d9-748a6e053903.jpg

Determine the x, y, z components of force and moment at point C in the pipe assembly. Neglect the weight of the pipe. The load acting at (0, 3.5 ft, 3 ft) is F₁ = {-24i-10k}lb and M = {-30k}lb*ft and at point (0, 3.5ft, 0) F2 = {-80i}lbs -1.5 ft- 2 ft- 3 ft

Determine the x, y, z components of force and moment at point C in the pipe assembly. Neglect the weight of the pipe. The load acting at (0, 3.5 ft, 3 ft) is F₁ = {-24i-10k}lb and M = {-30k}lb*ft and at point (0, 3.5ft, 0) F2 = {-80i}lbs -1.5 ft- 2 ft- 3 ft

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

**Problem Description:**

Determine the x, y, z components of force and moment at point C in the pipe assembly. Neglect the weight of the pipe. The load acting at (0, 3.5 ft, 3 ft) is
\[
\mathbf{F_1} = \{-24\mathbf{i} - 10\mathbf{k}\} \, \text{lb}
\]
and
\[
\mathbf{M} = \{-30\mathbf{k}\} \, \text{lb} \cdot \text{ft}
\]
and at point (0, 3.5 ft, 0)
\[
\mathbf{F_2} = \{-80\mathbf{i}\} \, \text{lbs}
\]

**Diagram Explanation:**

The diagram illustrates a three-dimensional pipe assembly with forces and moments acting on it. The pipe runs along three orthogonal axes: x, y, and z.

- **Point A:** Located on the x-axis at x = 0, the pipe extends horizontally in the x-direction for 1.5 ft.

- **Point C:** The pipe extends from Point A in the positive y-direction for 2 ft. It is the target point for calculating force and moment components.

- **Force \( \mathbf{F_1} \):**
- This force acts at the point (0, 3.5 ft, 3 ft) in the assembly.
- The vector has components in the x-direction (-24 lb) and the z-direction (-10 lb).

- **Moment \( \mathbf{M} \):**
- A moment of -30 lb·ft acts around the vertical axis at (0, 3.5 ft, 3 ft).

- **Force \( \mathbf{F_2} \):**
- This force acts at point (0, 3.5 ft, 0) along the x-axis, with a magnitude of -80 lb.

- **Vertical Pipe Segment:**
- Extends 3 ft upwards along the z-axis from a point 1.5 ft down the x-axis and 2 ft down the y-axis.

This system serves as a practical setting for analyzing forces and moments within mechanical structures, useful in educational contexts like physics or engineering problem-solving exercises.

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