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.classical_mechanics.dynamics.force.damping_force_is_proportional_to_velocity

.. py:data:: damping_constant

    Non-negative :attr:`~symplyphysics.symbols.classical_mechanics.damping_constant`.

Symbol:
    :code:`b`

Latex:
    :math:`b`

Dimension:
    :code:`mass/time`


.. py:data:: velocity

    Vector of the body's velocity. See :attr:`~symplyphysics.symbols.classical_mechanics.speed`.

Symbol:
    :code:`v`

Latex:
    :math:`{\vec v}`

Dimension:
    :code:`velocity`


.. py:data:: damping_force

    Vector of the damping :attr:`~symplyphysics.symbols.classical_mechanics.force` exerted on the body.

Symbol:
    :code:`F`

Latex:
    :math:`{\vec F}`

Dimension:
    :code:`force`


.. py:data:: law

    :code:`F = -b * v`


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