The bending of thin vertical rod and Bessel
functions

Raghbir Dyal

doi:https://doi.org/10.14445/22315373/IJMTT-V48P533

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 48 | Number 4 | Year 2017 | Article Id. IJMTT-V48P533 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P533

The bending of thin vertical rod and Bessel functions

Raghbir Dyal

Citation :

Raghbir Dyal, "The bending of thin vertical rod and Bessel functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 4, pp. 229-232, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P533

Abstract

This paper is based on physical problem when anyone who has tried holding a long, thin, flexible rod in a vertical position. If the rod is short, and its tip is given a small sideways displacement and released , the rod will perform transverse oscillations until it reaches an equilibrium position in a bent shape because of supporting its own weight. The longer the road, the larger the amplitude of these oscillations and the greater the bending under its own weight when in equilibrium, until at some critical length the rod will bend until its tip just touches the ground, after which it will remain in that position.

Keywords

until at some critical length the rod will bend until its tip just touches the ground, after which it will remain in that position.

References

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