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23 November 2024 15:12
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| Asked by: |
Glenn Hawkins |
| Subject: |
dificulties |
| Question: |
To all you wonderful, unique guys. Curtsy and bow to your exceptional intelligence.
I mentioned that I had concluded a study and explanation of the gyroscope and I have. This is a short sample of and beginning only, to demonstrate that gyro explanations cannot be understood by you, nor could they have been by me, I think. I do have the complete and devilish explanations. They grow increasingly complicated by their very nature nature of actions, but until they are animated, why bother posting it. I hope you appreciate the beginning difficulty in explaining and the perhaps impossibility in comprehending a limited written explanation without antimation. What a damned subject, hey? I will try some day to animate it all entirety.
Love and hope for your you happiness and success' always, Glenn
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THE COMPLETE THEORY OF GYROSCOPES
FORWARD
This is the first in-depth theorem of why and how the laws of motion cause the gyroscope to behave the way it does. Deflections cause and control all curving motion; including every facet of rotation, phase and aspect of gyroscopic reactions and attitudes. The study of deflections is about acceleration and deceleration as well as direction and deflection and these are constants to all things. In deed, within the vast and timelessness universe I believe every tinny particle without exception is busily being deflected into curves as you read. There seems there are no completely straight paths; only curving caused by the totality and inescapable universal system of constant deflections; deflections of mater in motion that would otherwise travel freely in a straight path.
DEFLECTIONS IN ROTATION
A good way to visualize angular deflection during rotation is to think of a ball bouncing around inside of a small octagon made of stationary panels. Ignoring friction, each time the ball collides into an angled panel it is deflected to the nest panel and the next, until the ball has made a complete deflected revolution inside the octagon. By adding hundreds of panels the ball will deflect in tiny bumps and bounces around the panels. By adding thousands of panels, the once regular inside surface becomes semi-smooth. The ball will then roll inside this confined circle, yet still its particle structure is in a state of constant compression and deflection.
CENTRIFUGE
The result of deflections in rotation is centrifuge, which is actually a rotating collision of outward force. It is the pressure of particles either colliding into a curved enclosure, or being pulled inward by their molecular glue as in centripetal. In either idea particles are at all instances attempting to follow a straight path, yet while they are being deflected into curving. If a circular enclosure were glass and rotating particles inside were represented as well greased water balloons, we could see them flatten into elongated shapes like bananas, as deflection forced them into curving against their attempt to travel in a straight line.
THE OVERHUNG GYROSCOPE BRICK BY BRICK
The resistance of overhung gyroscopes against tilting is complex; so much so that the causes have remained unexplained since the gyroscope’s first discovery almost three hundred years ago. The current explanations in physics involving torque are not detail mechanical explanations whatsoever, but only statements that circumnavigate an actual attempt to give an understanding of motion. Both; the otherwise learned instructor and student believe they have given and received an understanding of how and why a gyroscope functions. It is all a misconception. Current explanation fails, because it can not give insight into how the laws of motion cause it all to happen.
Lecture gyroscopes in gamble rings function for the same reasons as overhung gyroscopes supported by pedestals. The method for studding the overhung gyroscope is easier to explain and comprehend. It is chosen.
As overhung gyroscopes curve downward slowly into gravity they are in a state of vertical movement. At the same time they are curving downward from a top elevation to a bottom elevation nearer the table, they move horizontally outward; then horizontally inward, because the path of the descent is curved out then in. Except for the force of gravity being applied as an engine pulling downward, these two very slow dimensional movements, the vertical outward/inward and the horizontal downward, have virtually no effect on gyroscopic actions and reactions. It is only that the wheel must twist as it descends, with the top of the wheel twisting outward, while the bottom is twisting inward with respect to the pedestal, that begins and maintains all the seemingly strangely behavior of precession. The twisting in tilting is everything.
The resistance overhung gyroscopes display against twisting; as they tilt and descend can be very powerful and the reasons are complex and unique; to reiterate, so much so that again, the causes have remained concealed and not conceived, without explanation for almost three hundred years.
INCREASING INERTIAL RESISTANCE
During precession the gyroscope resists falling from its pedestal by the greatly boosted magnitude of inertial reluctance to twisting its position in space.
Two toy cars of equal weight race across a checkerboard from beginning to end. Each has a toy rocket with an equal thrust glued to its side to push it sideways as it rolls forward.
Car A. Attempts to travels forward slowly, but the sideways rocket deflects its direction from straight, to a 45 degrees angle. It arrives in due time cross-wise at the lower corner of the checker board.
Car B. Is under the same magnitude of sideways rocket force, however car B. travels forward very fast and arrives almost in a straight line across the center of the board deflected only 1 degree.
The difference is; though the force of the rockets to deflect the course of the cars was equal, Car B. was traveling 45 times faster than car A. Therefore car B. received only 1/45 as much sideways deflection time of force during the course and distance.
From this example we can see that increased forward velocity dose not increase sideways inertia resistance, a notion that is otherwise accepted in many equations, which nevertheless always produces the correct answers. Instead however, the magnitude of sideways resistance is owing to the small amount of time that force may act in a given distance. The condition of short time and short distance allowed in the twisting top half of the wheel; in relation to the reversing direction of twist at the bottom of the wheel, can become a powerful resistance to twisting. A wheel rotating fast enough and is large enough and heavy enough, almost completely refuses to be twisted in space and therefore resist being tilted downward. We will learn how.
REVERSING VELOCITIES
As overhung gyroscopes are twisting as they are tilted, the horizontal line running through the wheel’s sideways center becomes a hinge. The hinge line is the dividing line between the top of the wheel tilting outward away from the pedestal, and the bottom of the wheel tilting inward toward the support pedestal. Top and bottom reverse in lateral twisting directions.
As explained, rotating partials are accelerated sideways as the wheel is twisted outward at the top. The partials then continue rotating to the bottom half of the wheel, where they are redirected in an opposite twisting direction, inward toward the pedestal. Whatever little sideways velocity that is built in these tiny and fast rotating windows of sideways acceleration; is stopped at the hinge line and then forced to twist in reverse back toward the pedestal. The constant re-acceleration sideways to rotation, outward and inward of the moving particles occurring at both top and bottom has to overcome more than a continuously restarting from a zero sideways velocity. While rotating is being twisted the wheel also has to overcome its own equal opposite forces of sideways reversing and accelerating and reversing and accelerating outward and inward.
The condition is like a perfect spring compressing and uncoiling, again equally as in a perfectly elastic slingshot. The resistance to twisting; therefore tilting, and lowering is increased by increasing the speed of rotation for this increases the force of centrifuge all of which will be explained later.
Note: Lift support is generated by the horizontal curving movement of precession; just as precession is caused by the curving path of a tilting overhung gyroscope downward. It is not caused by the otherwise natural and intuitive idea that vertical lift support is caused by the gyroscope torquing its gravity pull backwards to twist down on the pedestal. How and why will be explained again and more clearly latter.
QUADRANGULAR MODEL
As the wheel is twisted gradually in tilting, the vertical drop and twisting is too slow for the necked eyed to detect. Additionally it is not possible to witness the action of resisting forces and deflection forces taking place for they are invisible. To perceive them and how they cause precession we will divide the wheel into vertical and horizontal quadrangular sections and study each section individually and separately. It is the twisting; not the tilting and vertical dropping that causes all resistances and deflections resulting in precession. Each of the four pie-like slices at the rim will equal a span of time and distance respectively to be thought of as semi-stationary grids in space, grids which are continuously revisited by the particles in the wheel during fast rotation.
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| Date: |
18 October 2013
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