On the relativistic lever paradox

Güémez, J.

doi:10.1088/1402-4896/ac2bdc

Cited by 4 publications

(5 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This demand translates into the need to find an equation (ansatz) that automatically transforms between inertial frames, S and S in the standard configuration with velocity V = (V, 0, 0), for example, by simply applying an operator, ensuring that the equation remains with its functional form unchanged. Assuming this operator is the Lorentz transformation given by equation (10), the allowed equations must involve four-vectors or four-tensors [43].…”

Section: Standard Configuration Observermentioning

confidence: 99%

A four-tensor momenta equation for rolling physics

Güémez,

Mier

2023

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

Relativistic four-tensor equation dJµν = Mµνdt is developed to analyse linear translation with rotation processes. The postulated cause-eﬀect four-tensor equation, a relativistic generalisation for classical angular-impulse–angular-momentum variation equation dJ = Mdt, includes the Poinsot-Euler rotation (angular-impulse–angular-momentum variation) equation, Newton’s second law (linear-impulse–linear-momentum variation equation), and thermodynamics ﬁrst law (work–energy equation). This four-tensor formalism is applied to describe three linear translation with rotation processes: a ring rolling on the ﬂoor by a horizontal force linear impulse and torque, fulﬁlling the rolling condition (mechanical energy conservation), a spinning ring placed on the ground until achieved the rolling condition (mechanical energy dissipation by friction), and a ﬁreworks wheel ascending an incline (mechanical energy production by decreasing a thermodynamic potential).

show abstract

Section: Standard Configuration Observermentioning

confidence: 99%

A four-tensor momenta equation for rolling physics

Güémez,

Mier

2023

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Frame S ¯moves with velocity V v , 0, 0 S S ( ) ¯| = with respect to S, in the standard configuration. The process' Poinsot-Euler law equation is (slightly) the same in frames S and S ¯ [16]. In frame S ¯, the process' fourvector fundamental equation is obtained as:…”

Section: With Body's Moment Of Inertiamentioning

confidence: 99%

“…Huygens-Galileo principle of relativity [14], Ch. 16 does not play a significant role in classical physics. Poincaré-Einstein principle of relativity [15], p. 86 is Einstein's special theory of relativity first postulate, playing a fundamental role in its development (Einstein-Minkowski-Lorentz formalisms [16]).…”

Section: Introductionmentioning

confidence: 99%

On the relativistic conveyor belt

Güémez¹,

González-Lavín²

2022

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

A relativistic four-vector fundamental equation formalism is used to analyse processes that are carried out on a conveyor belt, in reference frames S (with the conveyor belt at rest, ground) and ${\bar {\rm S}}$ (moving conveyor belt frame); these processes involve thermal effects. Examples solved are: a block thrown with initial speed on an inclined plane conveyor belt, and a ring launched with initial linear velocity on a moving belt. For each process, a four-vector fundamental equation is obtained, first in frame S, and then it is transformed by the Lorentz transformation to the process' four-vector fundamental equation in ${\bar {\rm S}}$. It is shown that Newton's second law and the first law of thermodynamics are no-independent equations. In this description, Newton's second law in frame ${\bar {\rm S}}$, in which forces are non simultaneously applied, includes terms related to linear momentum for heat (relativistic Doppler effect). The first law of thermodynamics in ${\bar {\rm S}}$ includes the motor's performed work to keep the belt moving at a constant speed (conveyor belt effect). Classical descriptions of processes are obtained by taking the relativistic equations' low-speed limit, keeping the conveyor belt effect.

show abstract

“…Finally the paradox has been solved by introducing an asynchronous description of the lever in the frame where it moves [18][19][20]. J. Güémez has recently given a comprehensive analysis [21] of the lever paradox using the asynchronous formulation of relativistic statics.…”

Section:  the Lever Paradoxmentioning

confidence: 99%

Rod-ring Paradox

Grøn¹,

Berntsen²

2022

ujpa

View full text Add to dashboard Cite

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.

show abstract

On the relativistic lever paradox

Cited by 4 publications

References 45 publications

A four-tensor momenta equation for rolling physics

A four-tensor momenta equation for rolling physics

On the relativistic conveyor belt

Rod-ring Paradox

Contact Info

Product

Resources

About