Newtons Laws: Origin
The motion of an aircraft through the air
can be explained and described by physical principals discovered over 300 years
ago by Sir Isaac Newton. Newton worked in many areas of mathematics and
physics. He developed the theories of gravitation in 1666, when he was only 23
years old. Some twenty years later, in 1686, he presented his three laws of
motion in the "Principia Mathematica Philosophiae Naturalis." The laws
are shown above, and the application of these laws to aerodynamics are given on
separate slides.
Newton's first law states that every object
will remain at rest or in uniform motion in a straight line unless compelled to
change its state by the action of an external force. This is normally taken as
the definition of inertia. The key point here is that if there is no net force
acting on an object (if all the external forces cancel each other out) then the
object will maintain a constant velocity. If that velocity is zero, then the
object remains at rest. If an external force is applied, the velocity will
change because of the force.

The
second law explains how the velocity of an object changes when it is subjected
to an external force. The law defines a force to be equal to change in momentum
(mass times velocity) per change in time. Newton also developed the calculus of
mathematics, and the "changes" expressed in the second law are most
accurately defined in differential forms. (Calculus can also be used to
determine the velocity and location variations experienced by an object
subjected to an external force.) For an object with a constant mass m, the
second law states that the force F is the product of an object's mass and its
acceleration a:
LINK: https://www.grc.nasa.gov/www/k-12/airplane/newton.html
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