How Do You Calculate the Resultant Using Parallelogram Law and Trigonometry?

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SUMMARY

The discussion focuses on calculating the resultant of two forces using the Parallelogram Law and trigonometric principles, specifically the Law of Sines and the Law of Cosines. The user seeks assistance in determining the necessary angles for their calculations. A recommended approach involves breaking down each force into its x and y components, summing these components to find the resultant vector's magnitude and direction.

PREREQUISITES
  • Understanding of the Parallelogram Law for vector addition
  • Familiarity with the Law of Sines and Law of Cosines
  • Basic knowledge of vector components in two dimensions
  • Ability to perform trigonometric calculations
NEXT STEPS
  • Study the application of the Parallelogram Law in vector addition
  • Learn how to apply the Law of Sines and Law of Cosines in practical problems
  • Practice breaking down forces into x and y components for resultant calculations
  • Explore vector direction determination using trigonometric functions
USEFUL FOR

Students in physics or engineering courses, educators teaching vector analysis, and anyone interested in mastering vector addition techniques.

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Homework Statement


I have attached the problem from the book. It is asking to determine the magnitude and direction of the resultant.


Homework Equations


Law of Sines
Law of Cosines


The Attempt at a Solution


I have started out by using the Parallelogram Law to draw the resultant and I'm pretty sure I could solve this problem with the law of cosines and sines, but I am having trouble figuring out the angles I need to use. Any help would be appreciated..
 

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Why not break up each force into its x and y components? Then sum the x components to get R_x, , sum the y components to get R_y, then R =? , and the angle that R makes with the x-axis is ?
 

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