Elementary Mechanics Using Python by Anders Malthe-Sørenssen

Author:Anders Malthe-Sørenssen
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

10.1 Integration Methods

In principle, we can determine the motion of any object if we know the net force, acting on the object, by applying Newton’s second law:

(10.1)

and solve to the position at a time , , if we start from . Since (10.1) is true, the integral of this equation must also be valid for the motion. Integral, you ask, what integral? Both the integral over time and the integral over the actual motion—the curve integral along the motion. The following two integrals of (10.1) also describe the motion:

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