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Simulation of Forces: Solution of the Inverse Dynamics in Classical Mechanics
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1999 Mathematica Developer Conference
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Champaign, IL
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Given the path of a particle r=r(t), then the "inverse dynamical problem" is: what is the force F(t) acting on the particle? The problem posed will be illustrated using the example of a particle moving frictionless along a horizontal line and at the same time sliding on a rotating contour C. Assigned a uniformly accelerated motion or harmonic oscillations, the resulting equations are solved with Mathematica, and the shape of the contour C is determined, which gives rise to the prescribed dynamical behavior of the particle along a horizontal line. An animation is used to visualize the dynamics of the system under investigation.
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particle on straight line, particle on track, particle on a rotating contour
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http://library.wolfram.com/conferences/devconf99/kragler/
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| Kragler.nb (4.4 MB) - Mathematica Notebook | | Kragler.zip (1.1 MB) - ZIP archive |
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