Calculating Net Force: Solving for Unknowns in Vector Addition

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SUMMARY

The discussion focuses on calculating the net force using vector addition, specifically applying the law of cosines and the sine rule. The participants utilize the formula \(c^2 = a^2 + b^2 - 2ab \cos C\) to find the resultant force and its direction. The final calculations yield a net force of approximately 33N at an angle of 71 degrees from the horizontal. The importance of resolving forces into components and understanding vector direction is emphasized throughout the conversation.

PREREQUISITES
  • Understanding of vector addition and force components
  • Familiarity with the law of cosines and sine rule
  • Basic trigonometry, including sine, cosine, and tangent functions
  • Ability to interpret vector diagrams
NEXT STEPS
  • Study the law of cosines in-depth for vector calculations
  • Learn how to resolve forces into x and y components
  • Practice using the sine rule for finding angles in triangles
  • Explore vector diagrams and their applications in physics problems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators seeking to enhance their teaching methods in vector addition and force calculations.

  • #31
helium4 said:
Yes, that's correct, but you need to say that ##F_{net}## points to the left with 40° angle between the vector and the horizontal (i.e. points in the NW direction), otherwise it may seem as though it would point to the right (NE direction), which would be incorrect.

Ok, thanks for mentioning that. Thank you for all of your help! Now I actually understand how work with these equations!
 

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