Statics problem equilibrium of a particle 2D

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SUMMARY

The discussion centers on the equilibrium of a particle in 2D statics, specifically addressing the components of forces acting on the particle. Participants clarify that the sine function is used for the horizontal component (Fx) and the cosine function for the vertical component (Fy) due to the definitions of these trigonometric functions in relation to the angles in a right triangle. This understanding is crucial for solving problems involving force components in static equilibrium.

PREREQUISITES
  • Understanding of basic trigonometry, specifically sine and cosine functions.
  • Familiarity with the concept of static equilibrium in physics.
  • Knowledge of vector decomposition in two dimensions.
  • Ability to interpret and analyze free-body diagrams.
NEXT STEPS
  • Study the principles of static equilibrium in 2D systems.
  • Learn about vector decomposition and how to resolve forces into components.
  • Explore the use of free-body diagrams in solving statics problems.
  • Practice solving problems involving trigonometric functions in physics applications.
USEFUL FOR

Students studying physics, particularly those focusing on statics and mechanics, as well as educators teaching these concepts in a classroom setting.

red1312
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1. Homework Statement
In the picture

Homework Equations



In the picture

The Attempt at a Solution


In the picture My question is .. Why in Fx has sin and Fy has cos ?
image.jpg
 
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red1312 said:
1. Homework Statement
In the picture

Homework Equations



In the picture

The Attempt at a Solution


In the pictureMy question is .. Why in Fx has sin and Fy has cos ?
image.jpg
Because of the way the angles are defined and because of how you would find the components of the forces shown. Remember how sine and cosine are defined on a triangle:

sohcahtoa-all.png
 
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