Mathematical model of jumping solid system with variable mass internal mover

2021 ◽  
Author(s):  
Sergey V. Semendyaev
Keyword(s):  
Mathematical Model ◽  
Variable Mass ◽  
Solid System

Numerical and experimental investigations of the dynamics of a variable mass pendulum

2015 ◽  
Vol 230 (12) ◽  
pp. 2124-2132
Author(s):  
Tomasz Bartkowiak ◽  
Jakub Krzysztof Grabski ◽  
Jan Adam Kołodziej
Keyword(s):  
Mathematical Model ◽  
Variable Mass ◽  
Experimental Investigations ◽  
Second Law ◽  
Reactive Force ◽  
Test Rig ◽  
Simple Experiment ◽  
Air Resistance ◽  
Variable Mass Systems ◽  
Loss Of Mass

In this paper, the numerical and experimental results for the dynamics of pendulum with variable mass were described. Mathematical model was developed taking into account the loss of mass, reactive force, air resistance, and friction. A corresponding test rig was designed and built in order to validate the numerical results. The purpose of the paper is to show that in case of the variable mass systems the second Newton’s law cannot be directly applied in the traditional form. The simple experiment was designed to support the thesis that the modification of Newton’s second law is necessary.

Mass Determination by Direct Measurement of Electron Scattering

1975 ◽  
Vol 33 ◽  
pp. 240-241
Author(s):  
M. K. Lamvik ◽  
A. V. Crewe
Keyword(s):  
Cross Section ◽  
Electron Scattering ◽  
Mass Density ◽  
Variable Mass ◽  
Scattering Cross Section ◽  
Mass Determination ◽  
Number Density ◽  
Cross Sectional ◽  
Thin Slice ◽  
Scattering Cross

If a molecule or atom of material has molecular weight A, the number density of such units is given by n=Nρ/A, where N is Avogadro's number and ρ is the mass density of the material. The amount of scattering from each unit can be written by assigning an imaginary cross-sectional area σ to each unit. If the current I0 is incident on a thin slice of material of thickness z and the current I remains unscattered, then the scattering cross-section σ is defined by I=IOnσz. For a specimen that is not thin, the definition must be applied to each imaginary thin slice and the result I/I0 =exp(-nσz) is obtained by integrating over the whole thickness. It is useful to separate the variable mass-thickness w=ρz from the other factors to yield I/I0 =exp(-sw), where s=Nσ/A is the scattering cross-section per unit mass.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model
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