Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spinning rigid bodies driven by orbital forcing: The role of dry
  friction   A "circular orbital forcing" makes a chosen point on a rigid body follow a
circular motion while the body spins freely around that point. We investigate
this problem for the planar motion of a body subject to dry friction. We focus
on the effect called reverse rotation (RR), where spinning and orbital
rotations are antiparallel. Similar reverse dynamics include the rotations of
Venus and Uranus, journal machinery bearings, tissue production reactors, and
chiral active particles. Due to dissipation, RRs are possible only as a
transient. Here the transient or flip time $t_\textrm{f}$ depends on the
circular driving frequency $\omega$, unlike the viscous case previously
studied. We find $t_\textrm{f}\sim\omega^{\gamma-1}\mu^{-\gamma/2}$, where
$\mu$ is the friction coefficient and $\gamma=0$ ($\gamma=2$) for low (high)
$\omega$. Whether RRs really occur depends on the initial conditions as well as
on $\mu$ and $H$, a geometrical parameter. The critical $H_\textrm{c}(\mu)$
where RRs become possible follows a $q$-exponential with $q\simeq1.9$, a more
restrictive RR scenario than in the wet case. We use animations to visualize
the different dynamical regimes that emerge from the highly nonlinear
dissipation mechanism of dry friction. Our results are valid across multiple
investigated rigid body shapes.

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The categories of this paper are: solv-int
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The categories of this paper are: econ
1
The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: math-ph
2
The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc