**Q.2) Determine the moment about line OB due to the force F shown in the figure below. The magnitude of force F is 600 N.**[Image Description]The diagram illustrates a vertical cylindrical structure with a horizontal arm pivoted at the top. The following points and dimensions are marked:- The vertical axis is labeled as the \( z \)-axis.- The horizontal axis perpendicular to \( z \) and going to the left is labeled as the \( x \)-axis.- The horizontal axis perpendicular to \( z \) and going to the back is labeled as \( y \).- Point O marks the origin where the vertical cylinder meets the ground.- Point B is on the \( x \)-axis at a distance of 150 mm from point O (to the left).- From point B, there is a force vector \( F \) acting in the direction from B towards the cylindrical structure, angled slightly downward and forward in the \( y \)-direction. This force vector \( F \) is highlighted in blue.- Point A is on the ground at coordinates (350 mm, 275 mm, 0 mm) relative to point O.- The horizontal arm at the top of the cylinder is of length 325 mm.The goal is to determine the moment about the line OB due to this force \( F \). The magnitude of the force \( F \) is given as 600 N. **Explanation:**- The moment about a line can be calculated using the vector cross product, considering the position vector of the point where the force is applied and the direction of the force.- The specific geometry and the given distances are vital for accurately solving for the moment. This problem requires understanding vector mechanics and may involve breaking down the forces into components, using the cross product to find torque, and integrating the effect of the arm's position relative to point O.

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Answered: Q.2) Determine the moment about line OB…

Q.2) Determine the moment about line OB due to the force F shown in figure below. The magnitude of force F is 600 N. 325 mm 400 mm 150 mm 275 mm 350 mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

**Q.2) Determine the moment about line OB due to the force F shown in the figure below. The magnitude of force F is 600 N.**

[Image Description]
The diagram illustrates a vertical cylindrical structure with a horizontal arm pivoted at the top. The following points and dimensions are marked:
- The vertical axis is labeled as the \( z \)-axis.
- The horizontal axis perpendicular to \( z \) and going to the left is labeled as the \( x \)-axis.
- The horizontal axis perpendicular to \( z \) and going to the back is labeled as \( y \).
- Point O marks the origin where the vertical cylinder meets the ground.
- Point B is on the \( x \)-axis at a distance of 150 mm from point O (to the left).
- From point B, there is a force vector \( F \) acting in the direction from B towards the cylindrical structure, angled slightly downward and forward in the \( y \)-direction. This force vector \( F \) is highlighted in blue.
- Point A is on the ground at coordinates (350 mm, 275 mm, 0 mm) relative to point O.
- The horizontal arm at the top of the cylinder is of length 325 mm.

The goal is to determine the moment about the line OB due to this force \( F \). The magnitude of the force \( F \) is given as 600 N.

**Explanation:**
- The moment about a line can be calculated using the vector cross product, considering the position vector of the point where the force is applied and the direction of the force.
- The specific geometry and the given distances are vital for accurately solving for the moment.

This problem requires understanding vector mechanics and may involve breaking down the forces into components, using the cross product to find torque, and integrating the effect of the arm's position relative to point O.

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