Moments and which direction they act

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SUMMARY

The discussion focuses on calculating moments in a fixed x and y-axis system, emphasizing the importance of establishing a convention for direction. The formula M=Fd is highlighted, where clockwise rotation is typically regarded as negative and counterclockwise as positive. In three-dimensional scenarios, the cross product (rxF) must account for negative forces and position vectors. Adhering to a consistent convention is crucial for accurate moment calculations.

PREREQUISITES
  • Understanding of basic physics concepts, particularly forces and moments.
  • Familiarity with the formula M=Fd for calculating moments.
  • Knowledge of vector mathematics, specifically cross products.
  • Experience with 2D and 3D coordinate systems.
NEXT STEPS
  • Research the application of the right-hand rule in determining moment direction.
  • Learn about the implications of negative forces in moment calculations.
  • Explore advanced topics in vector mathematics, focusing on cross products in 3D.
  • Study the principles of static equilibrium and how they relate to moments.
USEFUL FOR

Students and professionals in physics, engineering, and mechanics who need to understand the calculation and direction of moments in both two-dimensional and three-dimensional systems.

weedannycool
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if i have a fixed x and y-axis and i have a few forcesin both negative and positive directions when i calculate the sum of the moments how am I meant to know which direction they act

M=Fd
 
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All you need is a convention, i.e. set one direction "of rotation" clockwise and the other counter clockwise - one set of vectors will then produce positive moments, and the other one negative.
 
generally, if a force causes clockwise rotation it's considered negative. counter clockwise is positive, it depends on what your standards are.
if it's in 3D, the rxF will take negative forces and position vectors into consideration
 

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