Right-angle lever paradox

Nickerson, J. Charles; McAdory, Robert T.

doi:10.1119/1.9761

Cited by 13 publications

(9 citation statements)

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“…A third way is to take into account the torque due to internal forces in the lever arms without invoking the Laue current. Nickerson and Mc Adory [17] demonstrated that this internal torque cancels the external one, securing equilibrium in an arbitrary frame if there is equilibrium in the rest frame of the lever. Finally the paradox has been solved by introducing an asynchronous description of the lever in the frame where it moves [18][19][20].…”

Section:  the Lever Paradoxmentioning

confidence: 99%

Rod-ring Paradox

Grøn¹,

Berntsen²

2022

ujpa

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A new apparent relativistic paradox is presented involving only one space-time event. This is different from earlier 'relativistic paradoxes' involving extended bodies or events at different positions. A collision between a rod and a ring impacting at an oblique angle to each other is considered in the context of the special theory relativity. A question arises as to where along the length of the rod the point of impact will be according to two observers in the inertial rest frames of the rod and the ring, respectively. Note that in the rod-frame, the ring is sliding, not rolling, so the rest frame of the ring is inertial, not rotating. The observers argue from a purely kinematical point of view in favor of two different points of impact along the rod. However there can only exist one point of impact. In order to solve this apparent paradox, we use the asynchronous formulation of relativistic kinematics, in which the consequences of the relativity of simultaneity are built into the formalism. We show that this reconciles the descriptions from the two inertial frames of reference, and hence the new 'paradox' leads to a strong argument for the relevance of the asynchronous formulation of relativistic kinematics.

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Section:  the Lever Paradoxmentioning

confidence: 99%

Rod-ring Paradox

Grøn¹,

Berntsen²

2022

ujpa

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“…Numerous articles in scientific journals have been devoted to this paradox proposing a variety of solutions of ever-increasing complexity. Among the proposed solutions are: to redefine the torque, to invoke elastic forces in the lever, to reexamine the relation between torque and angular momentum, to redefine the concept of force, to invoke energy flow in the lever (see, for example, [20][21][22][23]), etc.…”

Section: The Right-angle Lever Paradox In Shortmentioning

confidence: 99%

About a Correct Interpretation of the Connection Between Classical Electrodynamics and the Special Relativity

Chubykalo

Espinoza

Artekha

2020

Int. J. Eng. Tech. Mgmt. Res.

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The purpose of this article is to bring the basic ideas of O. D. Jefimenko to the physical and mathematical community about the physical explanation of some theoretical conclusions of the Special Theory of Relativity. In this paper, we analyze the reality of length contraction and its concrete effect on electromagnetic interactions. We analyze some relativistic “paradoxes” for the concrete material objects and real physical forces, rather than from abstract viewpoint.

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“…In this appendix, we look at the explanations of the right angle lever in references [2] and [3]. Unfortunately, the internet discussions are too numerous and wrong in too many ways to address here.…”

Section: Appendixmentioning

confidence: 99%