Hourglass of constant weight as an illustrative example of a system with a variable mass

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Hourglass of constant weight as an illustrative example of a system with a variable mass. / Kassandrov, Vladimir V.; Silagadze, Zurab K.

In: Granular Matter, Vol. 25, No. 1, 9, 2023.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{fd200a37e04a4e3aaf7a61c364e4b7da,

title = "Hourglass of constant weight as an illustrative example of a system with a variable mass",

abstract = "We provide an alternative approach to a problem posed in the article “Hourglass of Constant Weight” by Becker and P{\"o}schel (Granul Matter 10(3):231–232, 2008. https://doi.org/10.1007/s10035-007-0081-z), i.e. 14 years ago. Our goal to return to this article after so much time is purely pedagogical. Although there is a slight and subtle inaccuracy in the derivation of equation (8) in the work of Becker and P{\"o}schel, which we correct, we use this circumstance only to give a detailed pedagogical exposition of an excellent physical problem and to show the pedagogical usefulness of the concept of momentum flow when considering the mechanics of systems with variable mass.",

keywords = "Classical mechanics, Hourglass, Momentum flux, Variable mass systems",

author = "Kassandrov, {Vladimir V.} and Silagadze, {Zurab K.}",

note = "Johann Otto drew our attention to this interesting variable mass problem many years ago. We thank Thorsten P{\"o}schel and anonymous referee for helpful comments. The work is supported by the Ministry of Education and Science of the Russian Federation.",

year = "2023",

doi = "10.1007/s10035-022-01295-7",

language = "English",

volume = "25",

journal = "Granular Matter",

issn = "1434-5021",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - Hourglass of constant weight as an illustrative example of a system with a variable mass

AU - Kassandrov, Vladimir V.

AU - Silagadze, Zurab K.

N1 - Johann Otto drew our attention to this interesting variable mass problem many years ago. We thank Thorsten Pöschel and anonymous referee for helpful comments. The work is supported by the Ministry of Education and Science of the Russian Federation.

PY - 2023

Y1 - 2023

N2 - We provide an alternative approach to a problem posed in the article “Hourglass of Constant Weight” by Becker and Pöschel (Granul Matter 10(3):231–232, 2008. https://doi.org/10.1007/s10035-007-0081-z), i.e. 14 years ago. Our goal to return to this article after so much time is purely pedagogical. Although there is a slight and subtle inaccuracy in the derivation of equation (8) in the work of Becker and Pöschel, which we correct, we use this circumstance only to give a detailed pedagogical exposition of an excellent physical problem and to show the pedagogical usefulness of the concept of momentum flow when considering the mechanics of systems with variable mass.

AB - We provide an alternative approach to a problem posed in the article “Hourglass of Constant Weight” by Becker and Pöschel (Granul Matter 10(3):231–232, 2008. https://doi.org/10.1007/s10035-007-0081-z), i.e. 14 years ago. Our goal to return to this article after so much time is purely pedagogical. Although there is a slight and subtle inaccuracy in the derivation of equation (8) in the work of Becker and Pöschel, which we correct, we use this circumstance only to give a detailed pedagogical exposition of an excellent physical problem and to show the pedagogical usefulness of the concept of momentum flow when considering the mechanics of systems with variable mass.

KW - Classical mechanics

KW - Hourglass

KW - Momentum flux

KW - Variable mass systems

UR - https://www.scopus.com/inward/record.url?eid=2-s2.0-85144502595&partnerID=40&md5=5a665f7b4d9a4c770846359655cc50ba

UR - https://elibrary.ru/item.asp?id=50369343

UR - https://www.mendeley.com/catalogue/d1d58db1-9946-3d98-88c0-eddff99e2989/

U2 - 10.1007/s10035-022-01295-7

DO - 10.1007/s10035-022-01295-7

M3 - Article

VL - 25

JO - Granular Matter

JF - Granular Matter

SN - 1434-5021

IS - 1

M1 - 9

ER -

ID: 48741281