Lec(5)-Equilibrium of a particle PDF

Equilibrium of a Particle in 2D &3D Example 1 Solution Applying the Equations of Equilibrium we have Example 2 Solution Applying the Equations of Equilibrium we have Example 3 Solution  THE EQUATIONS OF 3-D EQUILIBRIUM When a particle is in equilibrium, the vector sum...

Equilibrium of a Particle in 2D &3D Example 1 Solution Applying the Equations of Equilibrium we have Example 2 Solution Applying the Equations of Equilibrium we have Example 3 Solution  THE EQUATIONS OF 3-D EQUILIBRIUM When a particle is in equilibrium, the vector sum of all the forces acting on it must be zero (Σ 𝐹 = 0 ). This equation can be written in terms of its x, y and z components. This form is written as follows. (𝚺𝑭𝒙 ) 𝒊 + (𝚺𝑭𝒚 ) 𝒋 + (𝚺 𝑭𝒛 ) 𝒌 = 𝟎 This vector equation will be satisfied only when 𝚺𝑭𝒙 = 0 𝚺𝑭𝒚 = 𝟎 𝚺𝑭𝒛 = 𝟎 These equations are the three scalar equations of equilibrium. They are valid for any point in equilibrium and allow you to solve for up to three unknowns. Example 4 Solution Example 5 Solution Example 6 Solution Free Body Diagram