

Equilibrium of Rigid Body: In the vast field of engineering mechanics, one fundamental concept that holds utmost importance is the equilibrium of rigid bodies. Understanding the principles of equilibrium is crucial for engineers, as it forms the foundation for analyzing and designing various mechanical structures, ranging from bridges and buildings to machines and vehicles.
The above equations are known as equilibrium equations.
When forces act along the same line, it is possible to choose a single axis that encompasses all these forces. There is no generation of a moment due to this force system. Consequently, only one force equation along that axis is needed to analyse the system. The necessary condition of equilibrium for this force system is;
The necessary conditions of equilibrium for this force system are
In simple words, "the algebraic sum of x and y components of forces must be zero.”
The necessary conditions of equilibrium for this force system are
Where, ∑F represents the algebraic sum of parallel forces and ∑M represents the algebraic sum of moments about any point O in the plane.
The necessary conditions of equilibrium for this force system are
