Compliance of two serial springs
================================

If two springs are connected end-to-end to one another, i.e. connected in series, the
total compliance of the system of springs is the sum of the compliances of each spring.

**Conditions:**

#. Springs must be Hookean, or linear-response, i.e. obey the Hooke's law.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Series_and_parallel_springs#Formulas>`__.

.. py:currentmodule:: symplyphysics.laws.dynamics.springs.compliance_of_two_serial_springs

.. py:data:: total_compliance

    Total :attr:`~symplyphysics.symbols.classical_mechanics.compliance`.

Symbol:
    :code:`c`

Latex:
    :math:`c`

Dimension:
    :code:`length/force`


.. py:data:: first_compliance

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

Symbol:
    :code:`c_1`

Latex:
    :math:`c_{1}`

Dimension:
    :code:`length/force`


.. py:data:: second_compliance

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

Symbol:
    :code:`c_2`

Latex:
    :math:`c_{2}`

Dimension:
    :code:`length/force`


.. py:data:: law

    :code:`c = c_1 + c_2`


    Latex:
        .. math::
            c = c_{1} + c_{2}