By name: mechanics description: Forces and motion principles license: MIT compatibility: opencode metadata: audience: engineers category: physics
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