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Traditional
treatment on the mathematics of the horizontal energy of the Pendulum is to
focus on the Integral
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Integral(T1(x)sin(a)dx)
where T1(x) is the varying tension of the string
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Angle a is the varying angle due to the swing
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dx is the horizontal displacement
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OR
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Integral(Mg x L x
tan(a)sin(a)da) where L is
the length of the string
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The
result of such analysis shows the classical Potential Energy change into
Kinetic Energy.
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Unfortunately
the physicists and mathematicians wrongly presumed that ANY pulse force would
also have its energy totally converted into Potential Energy and/or Kinetic
Energy. They never considered the
possibility that the Pulse Force itself could increase the tension of the
String and lead out gravitational energy. The treatment using the Parallelogram
of Forces never appeared in textbooks nor known scientific literature.
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Lee
Cheung Kin and Team pointed out this particular oversight. The consequence is Direct Extraction
of Gravitational Energy. The same theory is then extended to magnetic,
electric fields etc. It is
further expended to rotational systems and flux change systems. The Patent Offices around the World
rejected many working inventions because the inventors did not understand the
source of the energy. Their
inventions were dismissed as impossible perpetual motion machines which
violate the Law of Conservation of Energy.
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