Equilibrium of Three Forces: Solving with Vectors?

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SUMMARY

The discussion focuses on solving a physics problem involving three forces acting on an object: a 60-N force, a 35-N force at 20 degrees, and a 40-N force at 75 degrees relative to the 60-N force. Participants emphasize the need to apply vector analysis rather than simply using coordinate systems. Key techniques mentioned include the Sine Law and Cosine Law for resolving the forces into their components to determine equilibrium. The consensus is that a diagram is essential for visualizing the forces and their angles.

PREREQUISITES
  • Understanding of vector resolution in physics
  • Familiarity with the Sine Law and Cosine Law
  • Ability to draw and interpret force diagrams
  • Basic knowledge of equilibrium conditions in mechanics
NEXT STEPS
  • Study vector resolution techniques in physics
  • Practice problems using the Sine Law and Cosine Law
  • Learn how to create and analyze force diagrams
  • Explore equilibrium conditions for multiple forces in mechanics
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Students studying physics, particularly those tackling problems involving multiple forces and vector analysis, as well as educators looking for effective teaching strategies in mechanics.

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Homework Statement


Three forces at on an object. A 35-N force acts an angle of 20^o relative to a 60-N force. A 40-N force acts at an angle of 75^o relative to the 60-N force on the opposite side of the 35-N force. Determine the equilibrium of the three forces.

Force 1 = 60 N
Force 2 = 35 N
Force 3 = 40 N

Homework Equations


Sine law
Cosine law


The Attempt at a Solution



I have no idea how to do this because my teacher only taught me about the forces dealing with two forces acting on an object.
 
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Draw yourself a diagram. Choose a coordinator of 0,90,180,270 degrees. What ever force is not on the coordinator could be broken down into x and y component.
That is how I would do it.
 
that is how I would do it as well. However, my teacher will want vectors and not coordinators. How does one do it with vectors?
 

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