Mechanics of machine force analysis with analytical method

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SUMMARY

The discussion focuses on the mechanics of machine force analysis using the arctangent function to determine vector direction. The confusion arises from the use of the arctangent function, specifically the need for both dy and dx components to resolve angles accurately. The example problem in the textbook yields an angle of -168.1 degrees, which is derived from applying the Atan2 function. Understanding this function is crucial for correctly interpreting slope and vector direction in mechanical analysis.

PREREQUISITES
  • Understanding of vector components (dy and dx)
  • Familiarity with the Atan2 function
  • Basic knowledge of trigonometry
  • Concepts of mechanical force analysis
NEXT STEPS
  • Study the Atan2 function in detail
  • Practice resolving vector directions using dy and dx components
  • Explore examples of mechanical force analysis in textbooks
  • Learn about the implications of negative angles in vector analysis
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Students and professionals in mechanical engineering, physics, and mathematics who are involved in force analysis and vector calculations.

Pipsqueakalchemist
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So I was looking at this example problem in my textbook and I don’t understand how they got -168.1 degrees. The part I’m confused with is the first part of the 2nd picture, there’s a coma in the inverse tan, I don’t know what that means.

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To resolve the full circle of slope or vector direction, the arctangent function needs both the dy and the dx components as parameters.
https://en.wikipedia.org/wiki/Atan2
 

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