Compliance is inverse stiffness
===============================

*Compliance* (also called *flexibility*) quantifies how much a system deforms under load; for an ideal linear spring it is the reciprocal of its stiffness.

**Conditions:**

#. This law holds locally (i.e. at a specific point along the spring), and is always true when stiffness is constant throughout the spring.
#. Deformation remains within the elastic (Hookean) range.

**Links:**

#. `Wikipedia – Compliance (mechanics) <https://en.wikipedia.org/wiki/Stiffness#Compliance>`__

.. py:currentmodule:: symplyphysics.classical_mechanics.springs.compliance_is_inverse_stiffness

.. py:data:: compliance

    :attr:`~symplyphysics.symbols.classical_mechanics.compliance` of the spring.

Symbol:
    :code:`c`

Latex:
    :math:`c`

Dimension:
    :code:`length/force`


.. py:data:: stiffness

    :attr:`~symplyphysics.symbols.classical_mechanics.stiffness` of the spring.

Symbol:
    :code:`k`

Latex:
    :math:`k`

Dimension:
    :code:`force/length`


.. py:data:: law

    :code:`c = 1 / k`


    Latex:
        .. math::
            c = \frac{1}{k}