Laws of Motion

Newton's laws, friction, circular motion dynamics

Key Concepts
  • Newton's 1st law: an object continues its state unless acted on by a net force
  • Newton's 2nd law: F = ma (net force causes acceleration)
  • Newton's 3rd law: every action has an equal and opposite reaction
  • Static friction ≤ μₛN; kinetic friction = μₖN (μₖ < μₛ)
  • Pseudo force (−ma) must be added in non-inertial frames
Important Formulae
Newton's 2nd law F = ma
Static friction (max) fₛ = μₛ N
Kinetic friction fₖ = μₖ N
Angle of friction tan θ = μ
Centripetal force F = mv²/r = mω²r
Quick Tips
  • Normal force equals weight only on a horizontal surface with no vertical acceleration.
  • Banking of roads: tan θ = v²/rg (ideal speed, no friction needed).
  • Impulse = change in momentum = F × Δt.
Practice Questions

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