1. All angular momentum has a "rigidity in space", even the so-called minor axis theorem, aka tennis racket theorem.
2. When angular momentum is torqued it is immediately met by an opposing torque of exactly the same magnitude and in exactly the opposite direction.
3. In the event of #2 another, much smaller angular momentum instantly appears which is always perpendicular to the original angular momentum. This is commonly referred to as precession.
4. None of the aforementioned enigmatic behaviors are understood in anyway by any physics, past or present. And they cannot be derived from first principles of any physics, past or present.
1. All angular momentum has a "rigidity in space", even the
so-called minor axis theorem, aka tennis racket theorem.
2. When angular momentum is torqued it is immediately met by an
opposing torque of exactly the same magnitude and in exactly the
opposite direction.
3. In the event of #2 another, much smaller angular momentum
instantly appears which is always perpendicular to the original
angular momentum. This is commonly referred to as precession.
4. None of the aforementioned enigmatic behaviors are understood in
anyway by any physics, past or present. And they cannot be derived
from first principles of any physics, past or present.
PS--the Big Ben Paradox has again succeeded is raising a lot of hell
on yet another moderated physics platform https://www.physicsforums.com/threads/what-about-the-big-ben-paradox.1057911/#post-6973546
4. None of the aforementioned enigmatic behaviors are understood in anyway by any physics, past or present. And they cannot be derived from first principles of any physics, past or present.
On Monday, December 4, 2023 at 12:21:12 PM UTC-8, Volney wrote:tipping over while it precesses.
On 12/4/2023 12:08 AM, patdolan wrote:
4. None of the aforementioned enigmatic behaviors are understood in anyway by any physics, past or present. And they cannot be derived from first principles of any physics, past or present.No, showing the existence of the torque/precession is a second semester
freshman physics problem. Best way to treat it is to consider the
rotating mass as many smaller masses instantaneously moving in a
straight line but rigidly attached to the hub and showing how the system
reacts to an instantaneous force. Newton figured this out long ago.
The two most important, most ignored and most unexplained properties of the gyroscope are 1) rigidity, and 2) the instantaneous and perfectly opposing torque which magically appears and exactly balances the applied torque to prevent the g-scope from
On Monday, December 4, 2023 at 12:21:12 PM UTC-8, Volney wrote:tipping over while it precesses.
On 12/4/2023 12:08 AM, patdolan wrote:
4. None of the aforementioned enigmatic behaviors are understood in anyway by any physics, past or present. And they cannot be derived from first principles of any physics, past or present.
No, showing the existence of the torque/precession is a second semester
freshman physics problem. Best way to treat it is to consider the
rotating mass as many smaller masses instantaneously moving in a
straight line but rigidly attached to the hub and showing how the system
reacts to an instantaneous force. Newton figured this out long ago.
The two most important, most ignored and most unexplained properties of the gyroscope are 1) rigidity, and 2) the instantaneous and perfectly opposing torque which magically appears and exactly balances the applied torque to prevent the g-scope from
The two most important, most ignored and most unexplained properties
of the gyroscope are 1) rigidity,
and 2) the instantaneous and perfectly opposing torque which magically appears and exactly balances the applied torque to prevent the g-scope
from tipping over while it precesses.
On Tuesday, December 5, 2023 at 2:45:36 AM UTC-8, Mikko wrote:
On 05-Dec-23 12:54 pm, patdolan wrote:
The two most important, most ignored and most unexplained propertiesThe approximate rigidity is a consequence of the properties of the
of the gyroscope are 1) rigidity,
material the gyroscope is made of.
and 2) the instantaneous and perfectly opposing torque which magicallyWhen you look at the gyroscope you don't see torque, you just see motion.
appears and exactly balances the applied torque to prevent the g-scope >>> > from tipping over while it precesses.
For the explanation of the motion, see e.g. Goldstein: Classical Mchanics
sections 5-6 and 5-7.
Look at me, Mikko,
and listen very carefully. ALL treatments of gyroscopes, including the
one you reference, start in the middle of the story by starting with precession.
On Wednesday, December 6, 2023 at 1:28:09 AM UTC-8, Mikko wrote:
On 2023-12-05 19:07:38 +0000, patdolan said:Mikko, I have carefully studied Goldstein 5-7 https://www.math.toronto.edu/khesin/biblio/GoldsteinPooleSafkoClassicalMechanics.pdf
On Tuesday, December 5, 2023 at 2:45:36 AM UTC-8, Mikko wrote:No, Goldstein starts the section 5-7 with equations of kinetic and>
On 05-Dec-23 12:54 pm, patdolan wrote:Look at me, Mikko,
The two most important, most ignored and most unexplainedThe approximate rigidity is a consequence of the properties of the
properties of the gyroscope are 1) rigidity,
material the gyroscope is made of.
and 2) the instantaneous and perfectly opposing torque whichWhen you look at the gyroscope you don't see torque, you just see
magically appears and exactly balances the applied torque to
prevent the g-scope from tipping over while it precesses.
motion. For the explanation of the motion, see e.g. Goldstein:
Classical Mchanics sections 5-6 and 5-7.
I don't see anything.and listen very carefully. ALL treatments of gyroscopes, including the
one you reference, start in the middle of the story by starting with
precession.
potential energy and infers from them that the motion involves>
precession and nutation.
and can identify neither an equation(s) or a sentence which "infers" precession and nutation from potential angular energy, kinetic &
potential. Please direct me to the precise eqn(s) or the paragraph.
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