PSN-L Email List Message

Subject: Ball Pivots
From: "Randall Pratt" rpratt@.............
Date: Sat, 23 Nov 2002 14:36:52 -0600


Hi All,

In pondering this issue, it would seem to me that as 2 convex surfaces =
roll, the contact point would move in the same direction as the mass.  =
This would put the pivot off center and effectively shorten the boom.  =
Depending on the radii involved the geometry with respect to the upper =
pivot will also be affected.  The effects would be magnified on a small =
instrument because the boom angles of motion for the same displacement =
will be larger.  In addition the small instrument is operating at a much =
finer angle between the upper and lower pivots so again the effect will =
be more pronounced.  Possibly the ball is more stable because the period =
is in effect lessening with displacement from center.  Any thoughts or =
calculations to either support or shoot me down?  I am using an archery =
point against an aircraft bolt head.  My FFT always has a peak between =
18 and 25 seconds with very little adjustment needed.  I did go =
completely off the side when the river flooded 2 miles east of here and =
had to reset then and again when the water dropped.


   =20







Hi All,
 
In pondering this issue, it would seem = to me that=20 as 2 convex surfaces roll, the contact point would move in the same = direction as=20 the mass.  This would put the pivot off center and effectively = shorten the=20 boom.  Depending on the radii involved the geometry with = respect to=20 the upper pivot will also be affected.  The effects would be=20 magnified on a small instrument because the boom angles of motion = for the=20 same displacement will be larger.  In addition the small instrument = is=20 operating at a much finer angle between the upper and lower pivots so = again the=20 effect will be more pronounced.  Possibly the ball is more stable = because=20 the period is in effect lessening with displacement from = center.  Any=20 thoughts or calculations to either support or shoot me down?  I am = using an=20 archery point against an aircraft bolt head.  My FFT always has a = peak=20 between 18 and 25 seconds with very little adjustment needed.  I = did go=20 completely off the side when the river flooded 2 miles east of here and = had to=20 reset then and again when the water dropped.
 
 
    =

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