Oscillation of a rigid rod in the special relativity

TL;DR

This paper investigates the oscillatory motion of a rigid rod in special relativity, revealing constraints on amplitude and length to avoid unphysical solutions, thus advancing understanding of relativistic rigid body dynamics.

Contribution

It introduces specific restrictions on amplitude and length for a relativistic rigid rod oscillating harmonically, addressing issues of unphysical solutions.

Findings

Identified amplitude restrictions to prevent unphysical behavior

Determined length constraints for relativistic rigid rods

Provided conditions essential for physically consistent solutions

Abstract

In the special relativity, a rigid rod slides upon itself, with one extremity oscillating harmonically. We discovered restrictions in the amplitude of the motion and in the length of the rod, essential to eliminate unphysical solutions. ------- Cxe la speciala relativeco, rigida stango movigxas sur si mem, kun unu fino oscilante harmonie. Ni malkovris limigajn kondicxojn pri la amplitudo de movado kaj pri la longo de stango, necesegaj por elimini ne-fizikajn solvojn.