Classical Mechanics
Motion of a Particle Constrained to a Rotating Plane
Abstract:
This note presents a derivation of the trajectory of a particle constrained to slide along a smooth rotating plane. We approach the problem using Lagrangian Mechanics, determining the Lagrangian and the equation of motion via Euler-Lagrange.
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Finally, we solve the resulting ODE by applying the method of undetermined coefficients, obtaining the time evolution of the position of the particle.
DOI: https://doi.org/10.5281/zenodo.20277928
DOI: https://doi.org/10.5281/zenodo.20277928