Compute Resultant Force Magnitude & Angle: Vector Addition

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SUMMARY

The discussion focuses on calculating the resultant force magnitude and angle using vector addition, specifically employing the law of cosines. Participants analyze three forces: F1 at 30 degrees, F2 at 120 degrees, and F3 at 150 degrees, each with a magnitude of 200g. The expected resultant force is approximately 430g at an angle of 103 degrees. However, one participant reported a calculation of 386.40g at -14 degrees, prompting a request for a detailed breakdown of their solution process.

PREREQUISITES
  • Understanding of vector addition and force components
  • Familiarity with the law of cosines
  • Basic trigonometry, including tangent and angle calculations
  • Ability to draw and interpret force diagrams
NEXT STEPS
  • Study the law of cosines for vector addition in physics
  • Learn how to draw and analyze force diagrams
  • Explore trigonometric functions and their applications in physics
  • Practice solving vector problems involving multiple forces
USEFUL FOR

This discussion is beneficial for physics students, engineers, and anyone involved in mechanics who needs to understand vector addition and resultant forces.

aparra2
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using the law of cosine , compuete the magnitude of the resultant force. Compute the angle of orienttion from the relationship tan thetha
2 F1=200g at 30 degrees, F2=200g at 120 degrees, F3=200g at 150 degrees. (the value should be close to 430 g of force at 103 degrees.
this is what i get but it dosent seem right 386.40 g at -14 degrees.
 
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Well, how have you gone about solving the problem? Draw a diagram to start, then set up equations; post your work. We can't tell you if you're right if we can't see what you've done!
 

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