Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calibrating torsional eigenmodes of micro cantilevers for dynamic
  measurement of frictional forces   Non-invasive thermal noise calibration of both torsional and flexural
eigenmodes is performed on numerous cantilevers of 10 different types. We show
that for all tipless and short-tipped cantilevers, the ratio of torsional to
flexural mode stiffness is given by a constant, times the ratio of their
resonant frequencies. By determining this constant we enable a calibration of
the torsional eigenmode, starting from a calibration of the flexural eigenmode.
Our results are well motivated from beam theory and we verify them with finite
element simulation.

31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat