mechanics

## What I do - Analyze static equilibrium and structures - Calculate stresses and strains in materials - Solve dynamics problems for particles and rigid bodies - Model energy and work relationships - Analyze simple machines and mechanisms - Apply impact and impulse momentum concepts ## When to use me When analyzing structures, designing mechanical systems, or studying motion under forces. ## Key Concepts - **Static Equilibrium**: ΣF = 0, ΣM = 0 for non-moving systems - **Stress-Strain**: σ = F/A, ε = ΔL/L, Hooke's law σ = Eε - **Work-Energy**: W = ∫F·ds, kinetic energy T = ½mv² - **Impulse-Momentum**: J = ∫Fdt = Δp - **Simple Machines**: Mechanical advantage MA = F_out/F_in - **Centroid**: Geometric center for area/mass calculations