The jumping ring experiment

Baylie, M; Ford, P. J.; Mathlin, Gary P; Palmer, Candice

doi:10.1088/0031-9120/44/1/003

Cited by 10 publications

(16 citation statements)

References 11 publications

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“…The reasons for this are not well understood." 5 We now provide an explanation. A fit of the normalized jump height in Eq.…”

Section: B Comparison To Other Workmentioning

confidence: 91%

“…͑7͒ shows that it will jump higher, to 2␣ 2 / ͑␣ 2 +1͒, but no more than twice the standard height even if ␣ → ϱ, allowing the demonstrator to reject any notion that the jump height is proportional to the resistivity ratio. 5 Reducing the mass to m 0 / ␣ restores ␦ to 45°via Eq. ͑9͒,…”

Section: Theorymentioning

confidence: 99%

“…A small ring chilled in liquid nitrogen jumps much higher than its reduced resistance would suggest, but some larger rings will jump no higher upon chilling. To these effects Baylie et al 5 added this latest puzzle: the jump height as a function of ring mass shows a resonance that varies with mass and temperature.…”

Section: Introductionmentioning

confidence: 99%

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Optimizing Thomson’s jumping ring

Tjossem¹,

Brost²

2011

American Journal of Physics

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The height to which rings will jump in a Thomson jumping ring apparatus is the central question posed by this popular lecture demonstration. We develop a simple time-averaged inductive-phase-lag model for the dependence of the jump height on the ring material, its mass, and temperature and apply it to measurements of the jump height for a set of rings made by slicing copper and aluminum alloy pipe into varying lengths. The data confirm a peak jump height that grows, narrows, and shifts to smaller optimal mass when the rings are cooled to 77 K. The model explains the ratio of the cooled/warm jump heights for a given ring, the reduction in optimal mass as the ring is cooled, and the shape of the mass resonance. The ring that jumps the highest is found to have a characteristic resistance equal to the inductive reactance of the set of rings.

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“…The reasons for this are not well understood." 5 We now provide an explanation. A fit of the normalized jump height in Eq.…”

Section: B Comparison To Other Workmentioning

confidence: 91%

Section: Theorymentioning

confidence: 99%

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Optimizing Thomson’s jumping ring

Tjossem¹,

Brost²

2011

American Journal of Physics

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“…The electrical conductivity of alloy EN-AW 2007 is σ = 2.2 × 10 7 m −1 compared to σ = 3.7 × 10 7 m −1 for pure aluminium. Increasing the jumping height by annealing has been described in [10] and [11]. Several rings turned from EN-AW 2007 rods have been annealed for 6 h and cooled slowly in the oven.…”

Section: Ringmentioning

confidence: 99%

A safe and effective modification of Thomson’s jumping ring experiment

Waschke¹,

Strunz²,

Meyn³

2012

Eur. J. Phys.

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“…Dicha fuerza debe oponerse al propio peso del anillo para permitir nalmente que levite; su magnitud depende del campo magnético H 2 , de la corriente i 2 y de las características constructivas del sistema, como por ejemplo, las dimensiones del anillo y el número de vueltas en la bobina [78]. En la gura 4.2 se aprecia la distribución esquemática de los campos magnéticos en el sistema, mostrando sus respectivos sentidos en correspondencia con las corrientes y considerando el medio ferromagnético mediante la relación constitutiva B = µH.…”

Section: Simulación De La Dinámica Propia Del Sistemaunclassified

Formalismo variacional en el modelado y control de sistemas de levitación magnética

Jara¹,

Rolando²

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In this thesis he addressed the controlled Lagrangian control technique in two magnetic levitation systems, these being the fundamental object of study. An analysis of the natural dynamics of three mechanical systems was made; a simple pendulum, two pendulums attached to a xed beam and an inverted pendulum on a cart, which served to understand from a physical-mathematical point of view the presentation of the Lagrangian formalism. This analysis in mechanical systems was the basis in the study of the natural dynamics of the magnetic levitation systems treated. A geometrical stability analysis was also carried out, both for the mechanical systems and for the magnetic levitation systems; this constitutes the rst novelty as a result of the work. The presentation of the controlled Lagrangian control technique was explained in detail, taking as an example the inverted pendulum system on the cart, to later be implemented in magnetic levitation systems. The results obtained were satisfactory, demonstrating with them that this control technique makes sense in magnetic levitation systems, until now simple. From the mathematical point of view, the establishment of a control law in these magnetic levitation systems guarantees their stability in the understanding that the controlled dynamics will be equal to the desired one.

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The jumping ring experiment

Cited by 10 publications

References 11 publications

Optimizing Thomson’s jumping ring

Optimizing Thomson’s jumping ring

A safe and effective modification of Thomson’s jumping ring experiment

Formalismo variacional en el modelado y control de sistemas de levitación magnética

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