Re: [Paddlewise] Bad Forward Sweep

From: Michael Daly <michaeldaly_at_rogers.com>
Date: Thu, 10 Jan 2002 01:58:54 -0500
From: "Matt Broze" <mkayaks_at_oz.net>

> However, contrary to his hypothesis, the hull does not pivot
> around the COF unless the hull is both completely symmetrical 
> and the COF is also not moving.
> 
> A hull pivots around its Center of Lateral Resistance. 

Strictly speaking, the hull can be seen as pivoting around any point.
Rotation is rotation and the rotation is the same regardless of 
inertial reference frame chosen.

Naval architects normally choose to use the center of gravity for
convenience.  If you play with physics problems, you'll quickly
discover that choosing a good point of reference (or origin) can 
make a solution easier.  For hulls, choosing the center of gravity 
can make a lot of problems simpler, hence the preference.

Aerospace engineers are split on the issue.  Some use a reference 
point in front of and below the aircraft, some use the center of 
gravity while others use the wing quarter-chord.  In every case, the 
choice reduces the complexity for the task at hand and reduces the 
likelyhood of error.  Yours truly, in his aircraft engineering days
had to convert all these data to a common reference point to 
determine aircraft loads (and thus stresses etc.)  This lead to 
many arguments among the various groups (until we agreed 
I was doing it right :-).

Matt's example of the saucer is an interesting one, as he makes 
a good case for focusing attention on the center of lateral 
resistance.  However, if you shift your focus, you can get the
same results for any center of rotation.

Over two-thousand years ago, Aristarchus of Samos pointed out that
an earth-centered universe with the planets revolving around the
sun and the sun and moon revolving around the earth explained the
retrograde motion of the planets as seen from earth.  When Galileo
was on trial for espousing the sun-centered view of the universe,
Tycho Brahe presented Aristarchus' model as an alternative that
didn't match Galileo's but solved the same problem, thus making
Galileo look bad.  What is remarkable is that with so many of the
era's prominent scientists looking on, no one seemed to notice
that the two models were identical, but taken from a different 
reference point.  Rotation was confusing then as it is now.

So how you see things depends on how you look.  But the answer
should be the same.

Mike

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Received on Wed Jan 09 2002 - 22:57:45 PST

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