Statics problem equilibrium of a particle 2D

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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 ?
Free-body diagram of a particle with three forces at angles, labelled with force magnitudes and angles, above a page of handwritten force component equations.
 
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 ?
Small diagram of a 2D force vector with an angle marked from the horizontal, with a right triangle drawn on it showing the adjacent and opposite sides.
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:

Three right triangles labelled with SOH, CAH and TOA: sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, tangent is opposite over adjacent.
 
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