Spring reaction is proportional to deformation (vector)¶
The empirical law known as Hooke’s law states that that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance. Also see the scalar counterpart of this law.
Conditions:
The deformations are elastic (reversible).
The stiffness coefficient is a scalar.
Links:
- Symbol:
F- Latex:
\({\vec F}\)
- Dimension:
force
- Symbol:
k- Latex:
\(k\)
- Dimension:
force/length
- deformation¶
Vector of the deformation of the string, which is the difference between the position vector of the end of the spring after and before the deformation. See
distance.
- Symbol:
s- Latex:
\({\vec s}\)
- Dimension:
length
- law¶
F = -k * s- Latex:
- \[{\vec F} = - k {\vec s}\]