Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the consistency of the Lagrange multiplier method in classical
  mechanics   Problems involving rolling without slipping or no sideways skidding, to name
a few, introduce velocity-dependent constraints that can be efficiently treated
by the method of Lagrange multipliers in the Lagrangian formulation of the
classical equations of motion. In doing so one finds, as a bonus, the
constraint forces, which must be independent of the solution of the equations
of motion, and can only depend on the generalized coordinates and velocities,
as well as time. In this paper we establish the conditions the Lagrangian
should obey that guarantee that the constraint forces can be obtained
consistently.

37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph