Hooke's Law

Hooke's Law explains how "ideal" springs behave under tension.

When no force is applied to a spring, the spring is at rest.  It's rest position is X1.

When a force (Fa) is applied to the spring, it will stretch by a certain amount.  Its new position will be X2

The amount of stretch is given by the change from position X1 to position X2.  This change in position is ∆X.

Where,  ∆X.=  X2 - X1

The amount of stretch (∆X) .is proportional to the applied force Fa.  Therefore:
                   

 

Graphically, this relationship can be shown as:

The Spring constant depends on factors such:

  • The type of material (spring, elastic band, string...)

  • the diameter of the material (spring, elastic band, string...)

  • the thickness of the material (spring, elastic band, string...)

  • the cross section of the material (spring, elastic band, string...)

  • number of coils in spring (spring, elastic band, string...)