(155.) The centre of gravity is not always included within the volume
of the body, that is, it is not enclosed by its surfaces. Numerous
examples of this can be produced. If a piece of wire be bent into any
form, the centre of gravity will rarely be in the wire. Suppose it be
brought to the form of a ring. In that case, the centre of gravity of
the wire will be the centre of the circle, a point not forming any
part of the wire itself: nevertheless this point may be proved to have
the characteristic property of the centre of gravity; for if the ring
be suspended by any point, the centre of the ring must always settle
itself under the point of suspension. If this centre could be supposed
to be connected with the ring by very fine threads, whose weight would
be insignificant, and which might be united by a knot or otherwise at
the centre, the ring would be balanced upon a point placed under the
knot.
In like manner, if the wire be formed into an ellipse, or any other
curve similarly arranged round a centre point, that point will be its
centre of gravity.
(156.) To find the centre of gravity experimentally, the method
described in (149, 150) may be used. In this case two points of
suspension will be sufficient to determine it; for the directions of
the suspending cord being continued through the body, will cross each
other at the centre of gravity. These directions may also be found
by placing the body on a sharp point, and adjusting it so as to be
balanced upon it. In this case a line drawn through the body directly
upwards from the point will pass through the centre of gravity, and
therefore two such lines must cross at that point.
(157.) If the body have two flat parallel surfaces like sheet metal,
stiff paper, card, board, &c., the centre of gravity may be found by
balancing the body in two positions on an horizontal straight edge.
The point where the lines marked by the edge cross each other will
be immediately under the centre of gravity. This may be verified by
showing that the body will be balanced on a point thus placed, or that
if it be suspended, the point thus determined will always come under
the point of suspension.
The position of the centre of gravity of such bodies may also be found
by placing the body on an horizontal table having a straight edge.
The body being moved beyond the edge until it is in that position in
which the slightest disturbance will cause it to fall, the centre of
gravity will then be immediately over the edge. This being done in two
positions, the centre of gravity will be determined as before.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account