Period of physical pendulum
===========================

A *physical pendulum* is a pendulum with an arbitrary distribution of mass that
oscillates about a given pivot point. The period of its oscillations depends on its rotational inertia, 
mass and the distance between the pivot and the center of mass of the pendulum.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Pendulum#Compound_pendulum>`__.

.. py:currentmodule:: symplyphysics.laws.dynamics.period_of_physical_pendulum

.. py:data:: period

    The :attr:`~symplyphysics.symbols.basic.period` of the physical pendulum.

Symbol:
    :code:`T`

Latex:
    :math:`T`

Dimension:
    :code:`time`


.. py:data:: mass

    The :attr:`~symplyphysics.symbols.basic.mass` of the pendulum.

Symbol:
    :code:`m`

Latex:
    :math:`m`

Dimension:
    :code:`mass`


.. py:data:: rotational_inertia

    The :attr:`~symplyphysics.symbols.classical_mechanics.rotational_inertia` of the pendulum.

Symbol:
    :code:`I`

Latex:
    :math:`I`

Dimension:
    :code:`length**2*mass`


.. py:data:: distance_to_pivot

    The :attr:`~symplyphysics.symbols.classical_mechanics.euclidean_distance` between the pivot and the pendulum's center of mass.

Symbol:
    :code:`d`

Latex:
    :math:`d`

Dimension:
    :code:`length`


.. py:data:: law

    :code:`T = 2 * pi * sqrt(I / (m * g * d))`


    Latex:
        .. math::
            T = 2 \pi \sqrt{\frac{I}{m g d}}