Moment of forces about a segment

In summary, the problem involves finding the moment created by three forces (75 N, 50 N, and 40 N) acting on a bar (ABCDE) that is moving along the xy, y, z, and x planes. The moment is to be determined about the segment AB using the cross product and dot product of vectors, as well as the scalar triple product of vectors. The displacement of each segment (AB, BC, CD, and DE) must be integrated into the equation for finding the moment. Further clarification and assistance would be appreciated.
  • #1
flinrae23
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Homework Statement


The bar ABCDE is subjected to three forces: F1 = 75 N and lies along DC, F2 = 50 N and lies along ED, F3 = 40 N and lies along CB. In addition,AB moves 3sqrt2 m on xy plane, BC moves 2 m along y plane, CD moves 1 m along z plane, and DE moves 1 m along x plane. Determine the moment these three forces create about the segment AB. The diagram for this problem is attached to this post. Thanks!


Homework Equations


Cross Product of Vectors
Dot Product of Vectors
Scalar Triple Product of Vectors


The Attempt at a Solution


I'm fairly sure that the problem uses a formula similar to the one used to find the moment about a point, except I'm unsure of how to approach the problem when the moment is supposed to be found about a segment.
 

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  • #2
I've tried using the cross product between vectors to find the moment, but I'm unsure of how to integrate the information given about the displacement of each segment into the equation. Any help would be greatly appreciated! Thanks!
 

Related to Moment of forces about a segment

1. What is a moment of force about a segment?

A moment of force about a segment, also known as torque, is a measure of the tendency of a force to rotate an object around an axis. It is calculated by multiplying the magnitude of the force by the perpendicular distance from the axis of rotation to the line of action of the force.

2. What is the equation for calculating moment of force?

The equation for calculating moment of force is M = F x d, where M is the moment of force, F is the applied force, and d is the perpendicular distance from the axis of rotation to the line of action of the force.

3. How is moment of force different from force?

Moment of force and force are two different physical quantities. While force is a push or pull that causes an object to move, moment of force is the measure of the rotational effect of a force. In other words, force causes linear motion, while moment of force causes rotational motion.

4. What factors affect the moment of force about a segment?

The moment of force about a segment is affected by the magnitude of the force, the distance from the axis of rotation to the line of action of the force, and the angle at which the force is applied. Increasing any of these factors will result in a greater moment of force.

5. How is moment of force used in real-world applications?

Moment of force is used in a variety of real-world applications, such as engineering, physics, and biomechanics. It is used to design structures and machines, analyze the stability of buildings and bridges, and understand the mechanics of human movement. It is also used in sports, such as in the swinging of a golf club or the throwing of a javelin.

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