The motion of two identical masses connected by an ideal string symmetrically placed over a corner

TL;DR

This paper presents a new two-mass system with an ideal string over a corner, demonstrating its motion and analyzing its dynamics, which is simpler to understand than similar systems like a double-cone on V-shaped rails.

Contribution

The paper introduces a novel two-mass system that slides up an incline with a center of mass descending, providing a clearer example compared to the complex double-cone system.

Findings

Experimental observations match theoretical predictions.

The system's motion is easier to demonstrate and analyze.

Provides insights into the dynamics of connected masses on inclines.

Abstract

We introduce a novel, two-mass system that slides up an inclined plane while its center of mass moves down. The system consists of two identical masses connected by an ideal string symmetrically placed over a corner-shaped support. This system is similar to a double-cone that rolls up an inclined set of V-shaped rails. We find the double-cone's motion easy to demonstrate but difficult to analyze. Our example here is more straightforward to follow, and the experimental observations are in good agreement with the theoretical predictions.