Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Oscillations of a suspended slinky   This paper discusses the oscillations of a spring (slinky) under its own
weight. A discrete model, describing the slinky by $N$ springs and $N$ masses,
is introduced and compared to a continuous treatment. One interesting result is
that the upper part of the slinky performs a triangular oscillation whereas the
bottom part performs an almost harmonic oscillation if the slinky starts with
"natural" initial conditions, where the spring is just pulled further down from
its rest position under gravity and then released. It is also shown that the
period of the oscillation is simply given by $T=\sqrt{32 L/g}$, where $L$ is
the length of the slinky under its own weight and $g$ the acceleration of
gravity independent of the other properties of the spring.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat