Proper equation for converting horizontal to vertical force on a taper?

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SUMMARY

The discussion centers on determining the correct equation to convert a horizontal force (Fh) into a vertical force (Fv) on a wedge. Participants emphasized the importance of understanding the geometry of the wedge and the angle of inclination to derive the appropriate formula. The consensus is that the relationship can be expressed using trigonometric functions, specifically Fv = Fh * tan(θ), where θ is the angle of the wedge. This equation allows for accurate calculations in applications involving inclined planes.

PREREQUISITES
  • Basic understanding of trigonometry, specifically tangent functions.
  • Familiarity with the concept of forces and their components.
  • Knowledge of wedge mechanics and inclined planes.
  • Ability to interpret geometric diagrams.
NEXT STEPS
  • Study the principles of static equilibrium in mechanics.
  • Explore applications of trigonometric functions in force analysis.
  • Learn about inclined plane physics and its real-world applications.
  • Review case studies involving wedges in engineering contexts.
USEFUL FOR

Engineers, physics students, and anyone involved in mechanical design or force analysis will benefit from this discussion, particularly those working with inclined planes and wedge mechanics.

Spoolx
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So I was having a discussion with a buddy and we were trying to decide the proper equation to translate a horizontal force to a vertical force on a wedge.
See my drawing below, if I apply a force at Fh, what is the equation for find out the force Fv?

Thanks!
 

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I tried this. But not sure about the result...
 

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