Stiffness of two parallel springs
=================================

If two springs are side-to-side to one another, i.e. connected in parallel, the total
stiffness of the system of springs is equal to the sum of the stiffnesses of each
spring.

**Condition:**

#. 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.stiffness_of_two_parallel_springs

.. py:data:: total_stiffness

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

Symbol:
    :code:`k`

Latex:
    :math:`k`

Dimension:
    :code:`force/length`


.. py:data:: first_stiffness

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

Symbol:
    :code:`k_1`

Latex:
    :math:`k_{1}`

Dimension:
    :code:`force/length`


.. py:data:: second_stiffness

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

Symbol:
    :code:`k_2`

Latex:
    :math:`k_{2}`

Dimension:
    :code:`force/length`


.. py:data:: law

    :code:`k = k_1 + k_2`


    Latex:
        .. math::
            k = k_{1} + k_{2}