Superposition of forces is sum (Vector)
=======================================

The net force exerted on an object is equal to the vector sum of all the forces exerted on it.

**Notation:**

#. :math:`\sum_i x_i` (:code:`Sum(x_i, i)`) denotes a sum of :math:`x_i` over the index :math:`i`.

**Links:**

#. `Wikipedia, general principle <https://en.wikipedia.org/wiki/Superposition_principle>`__.

.. py:currentmodule:: symplyphysics.definitions.vector.superposition_of_forces_is_sum



.. py:function:: superposition_law(forces_)

    The net force vector is the sum of individual force vectors.

    Law:
        :code:`F = Sum(F_i, i)`

    Latex:
        .. math::
            \vec F = \sum_i {\vec F}_i

    :param forces\_: sequence of individual :attr:`~symplyphysics.symbols.classical_mechanics.force` vectors.

        Symbol: :code:`F_i`

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

        Dimension: *force*

    :return: net :attr:`~symplyphysics.symbols.classical_mechanics.force` exerted on the object.

        Symbol: :code:`F`

        Latex: :math:`\vec F`

        Dimension: *force*