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Some improvements to the wording on the sign convention section.
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moorepants committed Mar 20, 2024
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Expand Up @@ -343,36 +343,36 @@ In the first row (a, b, c) of :numref:`fig-notation-rotation-sign-convention`
there are three ways to indicate leader arrows on the angular dimension
:math:`q` for a positive right handed orientation of :math:`A` with respect to
:math:`N`. A positive value of :math:`q` gives a positive right handed
orientation. This corresponds to the SymPy Mechanics command ``A.orient_axis(N,
q, N.z)``. In the second row (d, e, f), three ways are shown to indicate leader
arrows on the angular dimension :math:`q` for a negative right handed
orientation of :math:`A` with respect to :math:`N`. A positive value of
:math:`q` causes a negative right handed orientation. This row corresponds to
the SymPy Mechanics commands ``A.orient_axis(N, -q, N.z)`` or
orientation in a), b), and c). This corresponds to the SymPy Mechanics command
``A.orient_axis(N, q, N.z)``. In the second row (d, e, f), three ways are shown
to indicate leader arrows on the angular dimension :math:`q` for a negative
right handed orientation of :math:`A` with respect to :math:`N`. A positive
value of :math:`q` causes a negative right handed orientation. This row
corresponds to the SymPy Mechanics commands ``A.orient_axis(N, -q, N.z)`` or
``A.orient_axis(N, q, -N.z)``. In g) a negative sign is indicated on :math:`q`.
It is sometimes convenient to draw the rotation in negative right handed
rotation and by labeling the value :math:`-q` g) is equivalent to a). We try to
do this sparingly.
rotation and by labeling the value :math:`-q`. This means that g) is equivalent
to a). We try to do this sparingly.

.. _fig-notation-rotation-dimension-sign-convention:
.. figure:: figures/notation-rotation-dimension-sign-convention.svg

Options for adding arrows to angular dimensions for positive (first row) and
negative (second row) orientations.

In figure :numref:`fig-notation-vector-sign-convention` various vectors are shown.
Vectors are always drawn with a single arrow to indicate the positive sense of
the vector. In a) the vector acting on body :math:`A` is :math:`-F\hat{n}_x`
and the vector actin gon body :math:`B` is :math:`F\hax{n}_x`. The variable
:math:`F` indicated beside the arrow means that a positive value of :math:`F`
has the corresponding sense as the vector arrow head. The sense changes for
both vectors in b) and for one in c). In d), a negative :math:`F` is indicated.
This makes d) equivalent to a). The negative sense for that vector is shown
when :math:`-F` is beside it.
In figure :numref:`fig-notation-vector-sign-convention` various vectors are
shown. Vectors are always drawn with a single arrow to indicate the positive
sense of the vector. In a) the vector acting on body :math:`A` is
:math:`-F\hat{n}_x` and the vector acting on body :math:`B` is
:math:`F\hax{n}_x`. The variable :math:`F` indicated beside the arrow means
that a positive value of :math:`F` has the corresponding sense as the vector
arrow head. The sense changes for both vectors in b) and for one vector in c).
In d), a negative :math:`F` is indicated. This makes d) equivalent to a). The
negative sense for that vector is shown when :math:`-F` is beside it.

.. _fig-notation-vector-sign-convention:
.. figure:: figures/notation-vector-sign-convention.svg

Various ways to draw vector arrows, where the arrow head indicates the
positive sense of the vector if the variable is positive and negative sense
if the variable is shown as negative.
positive sense of the vector if the variable has no sign and negative sense
if the variable has a negative sign.

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