Hooke's Law

• What is Hooke's Law?

  The extension of an elastic object, such as a spring, is directly proportional to the force applied, provided that the limit of proportionality is not exceeded
• What is the equation for Force applied to a spring?

  F = kx

  F is the force applied to spring (N)

  K is the spring constant

  X is the extension (m)
• Linear line for a force/extension graph?

  • elastic region
  • following Hooke's Law
  • gradient is k
• What is the point on a force/extension graph where it stops being linear?

  Limit of proportionality
• Non-linear line on force/extension graph?

  • plastic behavior here
  • not following Hooke's Law
  • If shallow
  • lots of extension for not a lot of force
  • easy to stretch
• What happens if a force/extension graph is just linear?

  The material is brittle, so snaps instead of stretches after the elastic limit
• Force/Extension Graph: