Thin rod about axis through center perpendicular to length
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A thin rod is rotating about an axis that passes through its center perpendicular to its length.

**Conditions:**

#. The rod is uniform.
#. The rod is thin, i.e. its diameter is much less than its length.

**Links:**

#. `Wikipedia, third row of table <https://en.wikipedia.org/wiki/List_of_moments_of_inertia>`__.

.. py:currentmodule:: symplyphysics.laws.kinematics.rotational_inertia.geometries.thin_rod_about_axis_through_center_perpendicular_to_length

.. py:data:: rotational_inertia

    :attr:`~symplyphysics.symbols.classical_mechanics.rotational_inertia` of the rod.

Symbol:
    :code:`I`

Latex:
    :math:`I`

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


.. py:data:: length

    :attr:`~symplyphysics.symbols.classical_mechanics.length` of the rod.

Symbol:
    :code:`l`

Latex:
    :math:`l`

Dimension:
    :code:`length`


.. py:data:: mass

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

Symbol:
    :code:`m`

Latex:
    :math:`m`

Dimension:
    :code:`mass`


.. py:data:: law

    :code:`I = m * l^2 / 12`


    Latex:
        .. math::
            I = \frac{m l^{2}}{12}