1.) please help with problem **Problem Statement:**Calculate:A) The net moment of force about the attachment point at "O". B) The net force on the member attached to the wall.Provide the answers to both parts of this problem in the form of \( V = V \, \mathbf{u}_v \).**Diagram Details:**- The diagram shows a beam attached perpendicularly to a wall at point "O". The beam extends 3.5 meters horizontally to the right.- A vertical force of 100 N is applied at the end of the beam, 1 meter from a right-angled section.- The right-angled section extends vertically and has a horizontal extension including two forces: - 250 N at a 30-degree angle upwards from horizontal. - 200 N at a 45-degree angle downwards from horizontal.- Dimensions from point "O" to the vertical section and along the horizontal section are provided as 3.5 meters and 1 meter respectively.**Educational Explanation:**- **Net Moment Calculation:** - Identify each force and its perpendicular distance from point "O" to calculate the torque or moment created by each force. - Use the formula for moment \( M = F \times d \) (Force multiplied by distance).- **Net Force Calculation:** - Break angled forces into horizontal and vertical components. - Sum up all horizontal components and all vertical components separately to find the total force in each direction. - Use vector addition to find the resultant force.The solution will be structured in a vector form showing both magnitude and direction. ### Analysis of Forces on a Beam Structure#### Diagram DescriptionThe image represents a horizontal beam structure attached to a wall at point `O`. Various forces are applied to distinct points along the structure. The beam extends horizontally to the right from point `O`.#### Dimensions and Forces- **Dimensions:** - The horizontal section of the beam extends 3.5 meters from the wall to the point where the vertical section begins. - A vertical section extends downward 1 meter from the end of the horizontal section. - The horizontal extension from the bottom of the vertical section measures an additional 1 meter.- **Forces:** - A **100 N** downward force is applied at the end of the horizontal section before the vertical section. - A **250 N** force is applied at an angle of **30 degrees** from horizontal at the junction of the vertical and last horizontal sections. - A **200 N** force is directed at an angle of **45 degrees** above the horizontal, applied at the end of the final 1 meter horizontal section.#### Analysis InsightThis diagram can be used to study the effects of multiple forces acting on different sections of a beam. The angles and magnitudes of the forces are critical for calculating the resultant force and torque, which are essential for structural analysis and ensuring stability.

Given data: F1=100 NF2=250 NF3=200 N Need to determine the net force and moment at point O.

Calculate A) the net moment of force about the attachment point at "O" and B) the net force on the member attached to the wall. Give the answers to both parts of this problem in the form of V = V uv. O 3.5 m 100 N 1m 30 deg 1 m 250 N 45 deg 200 N

Calculate A) the net moment of force about the attachment point at "O" and B) the net force on the member attached to the wall. Give the answers to both parts of this problem in the form of V = V uv. O 3.5 m 100 N 1m 30 deg 1 m 250 N 45 deg 200 N

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

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

1.) please help with problem

**Problem Statement:**

Calculate:

A) The net moment of force about the attachment point at "O".
B) The net force on the member attached to the wall.

Provide the answers to both parts of this problem in the form of \( V = V \, \mathbf{u}_v \).

**Diagram Details:**

- The diagram shows a beam attached perpendicularly to a wall at point "O". The beam extends 3.5 meters horizontally to the right.
- A vertical force of 100 N is applied at the end of the beam, 1 meter from a right-angled section.
- The right-angled section extends vertically and has a horizontal extension including two forces:
- 250 N at a 30-degree angle upwards from horizontal.
- 200 N at a 45-degree angle downwards from horizontal.
- Dimensions from point "O" to the vertical section and along the horizontal section are provided as 3.5 meters and 1 meter respectively.

**Educational Explanation:**

- **Net Moment Calculation:**
- Identify each force and its perpendicular distance from point "O" to calculate the torque or moment created by each force.
- Use the formula for moment \( M = F \times d \) (Force multiplied by distance).

- **Net Force Calculation:**
- Break angled forces into horizontal and vertical components.
- Sum up all horizontal components and all vertical components separately to find the total force in each direction.
- Use vector addition to find the resultant force.

The solution will be structured in a vector form showing both magnitude and direction.

### Analysis of Forces on a Beam Structure

#### Diagram Description

The image represents a horizontal beam structure attached to a wall at point `O`. Various forces are applied to distinct points along the structure. The beam extends horizontally to the right from point `O`.

#### Dimensions and Forces

- **Dimensions:**
- The horizontal section of the beam extends 3.5 meters from the wall to the point where the vertical section begins.
- A vertical section extends downward 1 meter from the end of the horizontal section.
- The horizontal extension from the bottom of the vertical section measures an additional 1 meter.

- **Forces:**
- A **100 N** downward force is applied at the end of the horizontal section before the vertical section.
- A **250 N** force is applied at an angle of **30 degrees** from horizontal at the junction of the vertical and last horizontal sections.
- A **200 N** force is directed at an angle of **45 degrees** above the horizontal, applied at the end of the final 1 meter horizontal section.

#### Analysis Insight

This diagram can be used to study the effects of multiple forces acting on different sections of a beam. The angles and magnitudes of the forces are critical for calculating the resultant force and torque, which are essential for structural analysis and ensuring stability.

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