What is the Moment Produced by a Force at the Origin?

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SUMMARY

The moment produced by the force vector F = 5i + 3j Newtons, acting 3 meters to the right of the origin, can be calculated using the vector cross product. The position vector R is represented as 3i + 0j. The moment about the origin is given by the equation M_o = R X F, which results in a moment vector that reflects both the magnitude and direction of the applied force. This calculation is essential for understanding rotational dynamics in physics.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with the concept of moments in physics
  • Knowledge of the cross product operation
  • Basic principles of force and motion
NEXT STEPS
  • Study the vector cross product in detail
  • Learn about calculating moments in two-dimensional systems
  • Explore applications of moments in static equilibrium
  • Investigate the role of force vectors in rotational motion
USEFUL FOR

Students of physics, engineers, and anyone interested in mechanics and dynamics will benefit from this discussion on calculating moments produced by forces.

khutch2212
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F = 5i + 3j Newtons acts 3 m to the right of the origin (x is horizontal and y is vertical). What moment does this force produce about the origin? Use the vector cross product.
"Great works are performed
 
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OK, show us what you have tried.
 
I really don't know where to start, b/c I don't understand how I am suppost to use the cross product with one vector.
 
Who says you have only one vector? Remember, a vector has magnitude and direction.
 
Does this help?

\bar{M}_{o} = \bar{R} X \bar{F}
 

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