A study of kinetic friction: The Timoshenko oscillator

Henaff, Robin; Doudic, Gabriel Le; Pilette, Bertrand; Even, Catherine; Fischbach, J. M.; Bouquet, F.; Bobroff, J.; Monteverde, M.; Marrache‐Kikuchi, Claire A.

doi:10.1119/1.5008862

Cited by 13 publications

(7 citation statements)

References 11 publications

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“…Thus, the object shows a certain kind of periodic motion. If the slip velocity and load are not too large, the motion of the object should be simple harmonic vibration based on Coulomb's law of friction and the period can be used to measure the kinetic frictional coefficient [4]. However, we find the motion in our experiments more like damped vibration, which means Coulomb's law of friction cannot describe it precisely.…”

Section: Introductionmentioning

confidence: 79%

Non-Coulomb effect on the Timoshenko oscillation

Wang¹,

Li²,

Hou³

2021

Eur. J. Phys.

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A Timoshenko oscillator consists of an object set into motion through two opposite frictions of its rotating cylindrical supports. Coulomb’s law of friction determines that the oscillator’s motion should be simple harmonic vibration. However, experiments show that it is more like a damped vibration which is caused by non-Coulomb effects between the oscillator and two cylinders. We carefully measured the variance of kinetic frictional coefficient μ with relevant parameters and provide a brief explanation of this phenomenon. Both linear and quadratic approximation are used to derive the damped vibration equations. Moreover, numerical calculation based on interpolated data is also performed to give an accurate vibration curve. We find excellent agreement of our theory with the experimental data. A Timoshenko oscillator is an easy-to-build experiment for undergraduates to practice and understand friction. The non-Coulomb effects discussed in this article will give them a more realistic view of friction.

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Section: Introductionmentioning

confidence: 79%

Non-Coulomb effect on the Timoshenko oscillation

Wang¹,

Li²,

Hou³

2021

Eur. J. Phys.

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“…Without the force R, this constraint is generally violated. If we neglect friction [11,12] (i.e. the tangential reaction force), then R is perpendicular to the surface f x y z , , 0 ( )= , as shown in figure 2.…”

Section: Motion Of a Particle On A Surfacementioning

confidence: 99%

Pressure gradient in an incompressible fluid as a reaction force and the preservation of the principle of ‘cause and effect’

Simeonov

2023

Eur. J. Phys.

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When considering the motion of an incompressible fluid, it is common practice to take the curl on both sides of the Navier-Stokes (or Euler) equations and cancel the pressure force. The governing equations are sufficient to derive the velocity field of the fluid \textit{without} any knowledge of the pressure. In fact, the pressure is only calculated \textit{after} obtaining the velocity field. This raises a number of conceptual problems. For instance, why is the pressure unnecessary for obtaining the velocity field? Traditionally, forces have been considered as the ``causes`` of motion, and the resulting acceleration as the ``effect``. However, the acceleration (the effect) and the resulting velocity field can be obtained without any recourse to the pressure (the cause), seemingly violating the principle of ``cause`` and ``effect``. We address these questions by deriving the pressure force of an incompressible fluid, starting from d'Alembert's principle of virtual work, as a ``reaction force`` that maintains the incompressibility condition. Next, we show that taking the curl on both sides of the Navier-Stokes (or Euler) equations is \textit{equivalent} to using d'Alembert's principle of virtual work, which cancels out the virtual work of the pressure gradient. This shows that abstract procedures, such as taking the curl on both sides of an equation, can actually be tacit applications of rich physical principles, without one realizing it. This can be quite instructive in a classroom of undergraduate students.

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“…The Arduino is an interesting choice for an experiment, as it is an easyto-use and low-cost microcontroller, with a large user community. Even if Arduino was not initially developed as a physicist tool, it can be used in various contexts of experimental physics activities (e.g., see references [5][6][7][8][9][10]). The experimental setup that we used here is shown in Fig.…”

Section: Example Of Experimental Setupmentioning

confidence: 99%

Physical pendulum experiment re-investigated with an accelerometer sensor

Dauphin¹,

Bouquet

2018

Pap. Phys.

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We have conducted a compound pendulum experiment using Arduino and an associated two-axis accelerometer sensor as measuring device. We have shown that the use of an accelerometer to measure both radial and orbital accelerations of the pendulum at different positions along its axis offers the possibility of performing a more complex analysis compared to the usual analysis of the pendulum experiment. In this way, we have shown that this classical experiment can lead to an interesting and low-cost experiment in mechanics. *

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A study of kinetic friction: The Timoshenko oscillator

Cited by 13 publications

References 11 publications

Non-Coulomb effect on the Timoshenko oscillation

Non-Coulomb effect on the Timoshenko oscillation

Pressure gradient in an incompressible fluid as a reaction force and the preservation of the principle of ‘cause and effect’

Physical pendulum experiment re-investigated with an accelerometer sensor

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