Propelled Strings: Rising from Friction

Taberlet, Nicolas; Ferrand, Jérémy; Plihon, Nicolas

doi:10.1103/physrevlett.123.144501

Cited by 3 publications

(3 citation statements)

References 26 publications

(28 reference statements)

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“…For the shape of the self-rotating string loop, literatures (Daerr et al 2019;Taberlet et al 2019) obtained the shapes under normal gravity and air pressure on the earth through the method of numerical integration of the equation of motion, which read…”

Section: The State Of the Self-rotating String Loop In Spacementioning

confidence: 99%

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Self-rotating string loop’s overall state in vacuum and microgravity

Liu

Zhai

2022

Preprint

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A flexible string loop possesses a certain degree of rigidity when it moves. Based on this intriguing property, overall states of a string loop when it self-rotates driven by friction and when the whole is moved by a control end in vacuum and microgravity are investigated theoretically. When the string loop self-rotates, tension is uniformly distributed along the longitudinal direction of the string. At the same time, the shape is unknown under the current theoretical framework. When the string loop is moved as a whole, an expression of lateral stiffness is proposed, and limit conditions of translation acceleration, rotational angular velocity and rotational included angle that require to be imposed to control lateral force and deformation are put forward. This research is conducive to the development of control technology of string loops, and further is hopeful to be applied to projects such as debris capture and tethered satellites in space.

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Section: The State Of the Self-rotating String Loop In Spacementioning

confidence: 99%

“…Inspired by cowboys' use of soft ropes for horses (Brun et al 2014), flexible strings in motion seem to be easier to manipulate. The research on self-rotating string loops is traced back to 1949 (Gregory 1949), and they have also attracted the attention of many researchers (Daerr et al 2019;Taberlet et al 2019;Abello et al 2020) recently.…”

Section: Introductionmentioning

confidence: 99%

Self-rotating string loop’s overall state in vacuum and microgravity

Liu

Zhai

2022

Preprint

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“…A resolution of 10 −5 N was reachable with our equipment.Note added in the proofAfter the submission of this paper, we have become aware of two recently published papers on the same topic[12,13]. Furthermore, after the paper was accepted by the journal, we were informed of[14] which first theorised the behaviour of the String Shooter in 1949.…”

mentioning

confidence: 99%

String Shooter’s overall shape in ambient air

et al. 2020

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In this article, we study the behaviour of a looped string launched in ambient air using motorised wheels. We show that the loop, once it reaches its stationary state, is either in the pulley or the air-lifted state. The transition between these two distinct states occurs at the so-called takeoff speed. We prove that this speed differs from one string to another based on its characteristics. However, it is independent from the loop’s length and its initial launch angle. This speed indeed corresponds to the threshold where air drag starts compensating for the weight of the string.

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Physics of the String Shooter

Mamola

2023

The Physics Teacher

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The string shooter is an intriguing device that can be used to demonstrate a number of important physics concepts. It uses a pair of rotating wheels to continuously propel a closed loop of string at constant speed (see Fig. 1). Remarkably, the loop quickly reaches a stable shape, remaining suspended in the air. This surprising behavior may be viewed in a number of YouTube videos. Several models of the device are available commercially, at modest cost, and homemade versions are not difficult to construct. Advanced-level discussions of the underlying physics have recently appeared in the scientific literature. Fortunately, the fundamentals of those analyses can be cast into a form that is accessible to students of introductory-level physics. That is the aim of this paper. Conceptually, the device’s behavior can be explained by considering the forces that act on the string (interestingly, air drag plays a key role) and using the conditions for translational and rotational equilibrium. A more complete analysis, using Newton’s second law, allows the shape of a stationary loop, lying in a vertical plane, to be predicted with remarkable accuracy. The method requires only a minimal amount of calculus.

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Propelled Strings: Rising from Friction

Cited by 3 publications

References 26 publications

Self-rotating string loop’s overall state in vacuum and microgravity

Self-rotating string loop’s overall state in vacuum and microgravity

String Shooter’s overall shape in ambient air

Physics of the String Shooter

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