Mechanics

Forces and motion principles

ffsshhttiikk 3f12987 839 B Updated

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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

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Frequently asked questions

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