How to determine moment axis and direction on a rod in 3d

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SUMMARY

To determine the moment axis and direction on a rod in 3D, it is essential to define three points: point (a) at one end, point (b) at the other end, and a third reference point (c) not on the rod. The x-axis is aligned with the rod's length, while the y-axis is constructed perpendicular to the rod using point (c). The z-axis is then defined as mutually perpendicular to both the x and y axes. When a force is applied perpendicular to the x-axis at point (b) and moved to point (a), the moment's direction can be determined based on the established axes.

PREREQUISITES
  • Understanding of 3D coordinate systems
  • Knowledge of moment and torque concepts
  • Familiarity with vector mathematics
  • Basic principles of mechanics
NEXT STEPS
  • Study the principles of torque and its calculation in 3D systems
  • Learn about vector cross products and their application in determining moment direction
  • Explore the use of reference points in mechanics for complex systems
  • Investigate the role of perpendicular axes in structural analysis
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Mechanical engineers, physics students, and anyone involved in structural analysis or mechanics will benefit from this discussion on determining moment axes and directions in 3D systems.

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if i have rod of a certain length. let point (a) on one end of the rod and point (b) on the other end. along the rod axially is the X axis, vertically Y axis and Z is the lateral direction.let force prependicular on x -axis at point (b) and move this force to point (a) which will create a moment. now the question is at which axis will the moment will be? also is the direction of this moment will be clockwise or counter clockwise.
 
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In 3D, for a rod, it is not enough to specify the x-axis along the length of the rod. A third point, which is not located on the rod itself, must be used as a reference point. For example, your rod is determined by the points a and b, and this segment may be assumed to be the x-axis. By specifying a third point c which is not on the rod, you may construct a perpendicular to the rod, and this direction could be assumed to be the y-axis. With two axes specified, the z axis, which is mutually perpendicular to x and y axes, can be constructed.
 
SteamKing said:
In 3D, for a rod, it is not enough to specify the x-axis along the length of the rod. A third point, which is not located on the rod itself, must be used as a reference point. For example, your rod is determined by the points a and b, and this segment may be assumed to be the x-axis. By specifying a third point c which is not on the rod, you may construct a perpendicular to the rod, and this direction could be assumed to be the y-axis. With two axes specified, the z axis, which is mutually perpendicular to x and y axes, can be constructed.

yes you absolutely right i must put a third point in consideration> your assumptions is what i mean now how to determine moment axis and also its direction if i want to move this force to point (a) which assumed to be parallel to y -axis and perpendicular to x -axis at point (b)
 

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