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Related Concept Videos

Torsional Pendulum01:09

Torsional Pendulum

A torsional pendulum involves the oscillation of a rigid body in which the restoring force is provided by the torsion in the string from which the rigid body is suspended. Ideally, the string should be massless; practically, its mass is much smaller than the rigid body's mass and is neglected.
As long as the rigid body's angular displacement is small, its oscillation can be modeled as a linear angular oscillation. The amplitude of the oscillation is an angle. The role of mass is played by the...
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A simple pendulum consists of a small diameter ball suspended from a string, which has negligible mass but is strong enough to not stretch. In our daily life, pendulums have many uses, such as in clocks, on a swing set, and on a sinker on a fishing line.
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A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...
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Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Slack dynamics on an unfurling string.

J A Hanna1, C D Santangelo

  • 1Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA. hanna@physics.umass.edu

Physical Review Letters
|October 4, 2012
PubMed
Summary
This summary is machine-generated.

A thin string rapidly deployed on a flat surface forms an arch. This study models the arch formation process, involving slack dynamics and stress fields, validated by numerical simulations.

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Area of Science:

  • Physics of thin structures
  • Material science
  • Fluid dynamics

Background:

  • Thin flexible objects exhibit complex behaviors when deployed rapidly.
  • Understanding the formation of self-organized structures is crucial in various scientific fields.

Purpose of the Study:

  • To develop a qualitative model for arch formation in a rapidly deployed thin string.
  • To investigate the role of slack amplification, rectification, and advection in structure formation.
  • To explore the dynamics of thin objects under steady stress fields.

Main Methods:

  • Development of a qualitative physical model.
  • Numerical simulations to validate model assumptions.
  • Analysis of spatially developing motions.

Main Results:

  • Arch formation is observed on a rigid plane during rapid string deployment.
  • The model successfully describes the amplification, rectification, and advection of slack.
  • Numerical experiments confirm the model's predictions.

Conclusions:

  • The study provides a foundational model for understanding arch growth in thin strings.
  • It highlights the importance of slack dynamics and stress fields in self-forming structures.
  • Opens avenues for further research into the complex motions of thin, deployed objects.