English

Why pushing a bell does not produce a sound

Classical Physics 2020-01-08 v1

Abstract

The difference between "beating" and "pushing" results in the perception that a push just makes the object move as a whole, while a beat produces also a sound. Through a detailed analysis of the physics underlying such everyday experiences, we identify the \emph{strength}, the \emph{duration} and the \emph{softness} of the applied contact force, as the main (measurable) characteristics that mark such difference. The strength determines the final velocity Δv\Delta v achieved by the body. The duration 2τ2\tau compares to the time τ\tau_\ell the sound takes to cross the body. The softness γ\gamma (a positive exponent) results from the shape in time of the contact force. Those three elements enter the formula for the intensity of the sound produced. The relevant role of the softness is stressed and specific values are calculated for a thin metallic bar, chosen as the simplest possible model system.

Cite

@article{arxiv.1906.06837,
  title  = {Why pushing a bell does not produce a sound},
  author = {Loris Ferrari},
  journal= {arXiv preprint arXiv:1906.06837},
  year   = {2020}
}

Comments

23 pages, 2 figures

R2 v1 2026-06-23T09:55:11.472Z