Scalar product using right hand rule ?

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SUMMARY

The discussion centers on the use of scalar analysis, specifically the dot product, to determine the direction of a moment in physics. One participant argues that only the cross product can accurately determine direction, while another asserts that the solution provided is correct, emphasizing that the value of a coupled moment is derived from the magnitude of one force multiplied by the perpendicular distance between them. The right-hand grip rule is mentioned as a method for determining the direction of moments, indicating its relevance in vector analysis.

PREREQUISITES
  • Understanding of vector operations, specifically dot and cross products.
  • Familiarity with the right-hand grip rule for determining vector directions.
  • Knowledge of coupled moments and their calculation.
  • Basic principles of mechanics related to forces and moments.
NEXT STEPS
  • Study the application of the right-hand grip rule in vector analysis.
  • Learn about the differences between dot product and cross product in physics.
  • Explore the calculation of coupled moments in mechanical systems.
  • Investigate scalar and vector quantities in physics for a deeper understanding.
USEFUL FOR

Students of physics, mechanical engineers, and anyone involved in analyzing forces and moments in mechanical systems will benefit from this discussion.

goldfish9776
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Homework Statement


Refer to solution II , the author used the scalar analysis( dot product) to get the direction of moment ...IMO , this is incorrect ... Only cross product can be determined this way . correct me if I'm wrong .

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The Attempt at a Solution

 

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No, the solution is correct. The value of a coupled moment is just equal to the magnitude of one of the forces times the perpendicular distance between them.
 
axmls said:
No, the solution is correct. The value of a coupled moment is just equal to the magnitude of one of the forces times the perpendicular distance between them.
how can the direction of moment(scalar analysis) determined using the right hand grip rule ?
 

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