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:red1312 said:1. Homework Statement
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Homework Equations
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The Attempt at a Solution
In the pictureMy question is .. Why in Fx has sin and Fy has cos ?
Statics is a branch of mechanics that deals with the study of objects at rest or in a state of constant motion. It involves analyzing the forces acting on an object and determining its equilibrium or stability.
In statics, a particle refers to a small object or component that is treated as a single point with no dimensions. This simplifies the analysis of forces acting on the object and allows for accurate calculations of equilibrium.
Equilibrium in statics refers to a state in which an object is at rest or in constant motion with no unbalanced forces acting on it. This means that the forces acting on the object are balanced and the object will not accelerate or rotate.
A 2D statics problem is a problem in which the forces acting on an object are analyzed in two dimensions - typically in the x and y directions. This means that the object is being considered on a flat, two-dimensional plane rather than in three-dimensional space.
To solve a 2D statics problem involving equilibrium of a particle, you must follow the steps of the equilibrium equations. These include drawing a free-body diagram, resolving the forces into their components, applying the equilibrium equations (sum of forces and sum of moments), and solving for the unknowns.