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