Falling non-harmonic Slinkys

TL;DR

This paper investigates the falling behavior of non-harmonic Slinkys using numerical methods, revealing how modifications in restoring forces and mass distributions affect the delay in bottom movement.

Contribution

It introduces a numerical approach to analyze non-harmonic Slinkys, extending understanding beyond traditional Hooke's law and uniform mass distributions.

Findings

Delay in bottom movement persists in non-harmonic Slinkys

Restoring force variations influence collapse dynamics

Non-uniform mass distributions alter collapse timing

Abstract

Slinkys that start from a stretched equilibrium position supported at the top and then released to fall under the influence of gravity exhibit the interesting behavior that the bottom of the slinky does not move until the collapsing top of the Slinky reaches the bottom. In this paper, we examine this problem using numerical methods to investigate whether this property holds for generalizations of the slinky physics such as changing the restoring force from the traditional Hookes law or considering random and non-uniform distributions of masses.