Last Updated：2025/12/30
Sentence
The
center
of
gravity
of
any
body
or
geometrical
magnitude
is
by
definition
the
same
as
the
centroid
of
a
certain
system
of
parallel
forces.
It
will
be
convenient,
therefore,
to
use
the
word
centroid
in
most
cases
instead
of
center
of
gravity.
[…]
The
centroid
of
any
area
may
be
found
by
the
following
method:
Divide
the
area
into
parts
such
that
the
area
and
centroid
of
each
part
are
known.
Take
the
centroids
of
the
partial
areas
as
the
points
of
application
of
forces
proportional
respectively
to
those
areas.
The
centroid
of
this
system
of
forces
is
the
centroid
of
the
total
area,
and
may
be
found
by
the
method
of
Art.
172.
Quizzes for review
The center of gravity of any body or geometrical magnitude is by definition the same as the centroid of a certain system of parallel forces. It will be convenient, therefore, to use the word centroid in most cases instead of center of gravity. […] The centroid of any area may be found by the following method: Divide the area into parts such that the area and centroid of each part are known. Take the centroids of the partial areas as the points of application of forces proportional respectively to those areas. The centroid of this system of forces is the centroid of the total area, and may be found by the method of Art. 172.
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