# On Carnot's theorem in time dependent impulsive mechanics.

Extracta Mathematicae (2005)

- Volume: 20, Issue: 1, page 87-97
- ISSN: 0213-8743

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topPasquero, Stefano. "On Carnot's theorem in time dependent impulsive mechanics.." Extracta Mathematicae 20.1 (2005): 87-97. <http://eudml.org/doc/38780>.

@article{Pasquero2005,

abstract = {We show that the validity of the Carnot's theorem about the kinetic energy balance for a mechanical system subject to an inert impulsive kinetic constraint, once correctly framed in the time dependent geometric environment for Impulsive Mechanics given by the left and right jet bundles of the space-time bundle N, is strictly related to the frame of reference used to describe the system and then it is not an intrinsic property of the mechanical system itself. We analyze in details the class of frames for which the theorem holds, showing that its dimension coincides with the codimension of the submanifold A2 of the right jet bundle R1(N) determining the inert constraint.},

author = {Pasquero, Stefano},

journal = {Extracta Mathematicae},

keywords = {impulse; frame of reference; kinetic energy},

language = {eng},

number = {1},

pages = {87-97},

title = {On Carnot's theorem in time dependent impulsive mechanics.},

url = {http://eudml.org/doc/38780},

volume = {20},

year = {2005},

}

TY - JOUR

AU - Pasquero, Stefano

TI - On Carnot's theorem in time dependent impulsive mechanics.

JO - Extracta Mathematicae

PY - 2005

VL - 20

IS - 1

SP - 87

EP - 97

AB - We show that the validity of the Carnot's theorem about the kinetic energy balance for a mechanical system subject to an inert impulsive kinetic constraint, once correctly framed in the time dependent geometric environment for Impulsive Mechanics given by the left and right jet bundles of the space-time bundle N, is strictly related to the frame of reference used to describe the system and then it is not an intrinsic property of the mechanical system itself. We analyze in details the class of frames for which the theorem holds, showing that its dimension coincides with the codimension of the submanifold A2 of the right jet bundle R1(N) determining the inert constraint.

LA - eng

KW - impulse; frame of reference; kinetic energy

UR - http://eudml.org/doc/38780

ER -

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