Damping force is proportional to velocity
=========================================

Damping force is an external (relative to an object) force that drains energy from the object,
reducing the motion of the object. It is a model used, for example, to describe the motion
of an oscillator.

**Links:**

#. `Physics LibreTexts, formula 8.3.1 <https://phys.libretexts.org/Courses/University_of_California_Davis/UCD%3A_Physics_9HA__Classical_Mechanics/8%3A_Small_Oscillations/8.3%3A_Damping_and_Resonance>`__.

.. py:currentmodule:: symplyphysics.definitions.vector.damping_force_is_proportional_to_velocity

.. py:data:: damping_constant

    Non-negative damping constant.

    ..
        TODO: add to `symbols`

Symbol:
    :code:`b`

Latex:
    :math:`b`

Dimension:
    :code:`mass/time`


.. py:function:: damping_force_definition(velocity_)

    Vector of *damping force* exerted on the object.

    Law:
        :code:`F = -1 * b * v`

    Latex:
        .. math::
            \vec F = -b \vec v

    :param velocity\_: velocity vector of the object.

        Symbol: :code:`v`

        Latex: :math:`\vec v`

        Dimension: *velocity*

    :return: vector of damping :attr:`~symplyphysics.symbols.classical_mechanics.force`.

        Symbol: :code:`F`

        Latex: :math:`\vec F`

        Dimension: *force*


.. py:function:: velocity_law(damping_force_)

    *Velocity* of the object which the damping force is exerted on.

    Law:
        :code:`v = -1/b * F`

    Latex:
        .. math::
            \vec v = - \frac{\vec F}{b}

    :param damping_force\_: damping :attr:`~symplyphysics.symbols.classical_mechanics.force` exerted on the object.

        Symbol: :code:`F`

        Latex: :math:`\vec F`

        Dimension: *force*

    :return: velocity vector of the object.

        Symbol: :code:`v`

        Latex: :math:`\vec v`

        Dimension: *velocity*