Apply Lawrence’s principle to a cylinderical object?

Hello Team member of Euler’s Team,
This is the most theoretical explanation I could offer from the
perspective of Lawrence’s swinging theory.
The critical point about Lawrence’s conceptual innovation is to use
a smaller force to ‘extract’ a larger force, or using a small energy
to bring out bigger energy(like fuel ignition).
We could consider a cylindrical mass as compose of many many
different swing unit carrying identical charge separate with a
ultra-small angle. All the swing are connected to the center through a
magical holder. Now suppose we apply an impulse force at one of the
swing component in a direction of the tangent. Originally, without the
any swing in the neighborhood, that swing is going to move in
accordance to Newton’s First Law of Motion: Straight in the direction
of that impulse. Now, however, because that as the swing is part of
the cylindrical mass, there exist electromagnetic attraction of the
neighborhood swing unit. Since at any part of the cylindrical mass we
have equal number of swing unit attracting this unit, there is not net
acting force in the horizontal plane, however, the sum total of the
vertical component of all neighborhood swing unit provide the
centripetal force necessary for rotational motion. The impulse,
combine with the this centripetal force coming from the attraction of
the neighborhood swing unit, transform the tendency of this horizontal
movement into rotation.
On the other hand, as one swing unit displace in a circular locus,
it is moving into neighborhood of other swing unit while separate
itself to another swing unit on the opposite direction. At one hand,
the swing units on the forward direction REACT to the approaching
swing unit by providing a repulsion force, while the swing units on
the other side REACT to the separating swing unit by providing an
attraction force. In order to start the rotational motion, the impulse
at the tangent MUST be greater than the sum total of all the
attraction/repulsion force from the neighborhood swing unit. In the
case of the impulse smaller than the net total of those forces, the
impulse would only set off a wave of vibration travelling through the
swing units. If the impulse has overcome those forces, three things
happen: First, the swing unit moved by the impulse would move in a
circular locus as the resultant of all attraction/repulsion force;
Second, the swing unit on the direction of movement would be push
toward the same direction as the moving swing unit as the REACTION of
the repulsion force it exert to the moving swing unit; Third, the
swing unit on the other direction would be push toward the same
direction of movement as the moving swing unit because of the REACTION
of the attraction force it exert to the moving swing unit. The picture
is, of course, much more complicated since it is NOT just one swing
unit on the direction of movement that is attracting/repulsing the
approaching swing unit, so we could presume a whole group of swing
unit is reacting to its own repulsion/attraction force exert on that
swing unit by moving in the same direction of that swing unit. As the
magnitude of individual force is weakness across the distance, the
displacement of each of the individual swing unit is decreasing in the
increasing distance. This differential displacement itself would also
causing similar process.
To summarize, we see that as we apply an impulse to the rim of an
cylindrical object. Due to the construction energy provided by the
bonding of the atoms/molecules inside, the horizontal movement has
been transformed into circular movement. In a simpler terms, no other
form movement is permitted except rotational movement due to the
physical integrity of this object. The characteristic of swing
movement is that a centripetal force is always exist and causing any
movement into a circular locus. Instead of displacing only in the
horizontal direction, the construction has force the displacement also
take place in the vertical direction according to the geometry of this
object. The maximum displacement vertically and horizontally is both
constraint in the same way as a swinging motion. However, instead of
pushing one swing object, we are pushing a large amount of individual
swing objects at the same time, all of the are swinging in accordance
to the impulse we applied to the rim. Thus it follow that Lawrence’s
principle could be applied to ANY cylindrical object has a fixed
radius and identical center.

Team Leader of Euler’s Team



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