Falling Coupled Oscillators & Trigonometric Sums
Classical Physics
2018-03-12 v1
Abstract
A method for evaluating finite trigonometric summations is applied to a system of N coupled oscillators under acceleration. Initial motion of the nth particle is shown to be of the order for small time T and the end particle in the continuum limit is shown to initially remain stationary for the time it takes a wavefront to reach it. The average velocities of particles at the ends of the system are shown to take discrete values in a step-like manner.
Cite
@article{arxiv.1612.09317,
title = {Falling Coupled Oscillators & Trigonometric Sums},
author = {S. R. Holcombe},
journal= {arXiv preprint arXiv:1612.09317},
year = {2018}
}