Slab about perpendicular axis through center
============================================

A solid slab is rotating about an axis that is perpendicular to the slab and goes through its center.

**Conditions:**

#. The slab is uniform.

**Links:**

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

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

.. py:data:: rotational_inertia

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

Symbol:
    :code:`I`

Latex:
    :math:`I`

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


.. py:data:: length

    :attr:`~symplyphysics.symbols.classical_mechanics.length`, or first slab dimension perpendicular to the axis.

Symbol:
    :code:`l_1`

Latex:
    :math:`l_{1}`

Dimension:
    :code:`length`


.. py:data:: width

    Width, or second slab dimension perpendicular to the axis. See :attr:`~symplyphysics.symbols.classical_mechanics.length`.

Symbol:
    :code:`l_2`

Latex:
    :math:`l_{2}`

Dimension:
    :code:`length`


.. py:data:: mass

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

Symbol:
    :code:`m`

Latex:
    :math:`m`

Dimension:
    :code:`mass`


.. py:data:: law

    :code:`I = m * (l_1^2 + l_2^2) / 12`


    Latex:
        .. math::
            I = \frac{m \left(l_{1}^{2} + l_{2}^{2}\right)}{12}