scholarly journals Hilbert’s 6-th problem and principle of completeness in dynamics

2021 ◽  
Vol 2090 (1) ◽  
pp. 012106
Author(s):  
V Yu Tertychny-Dauri
Keyword(s):  
Variable Mass ◽  
Mass Point ◽  
Second Law ◽  
Point System ◽  
Newton's Second Law

Abstract The following offers a new axiomatic basis of mechanics and physics in their most important dynamics domain, i.e. a principle (axiom) of completeness intended to generalize Newton’s second law of motion for the case of a non-stationary variable-mass point (system) that varies with time. This generalization leads to hyperdynamic dependencies describing such motion from new accurate qualitative standpoints.

Newton’s second law for systems with variable mass

2000 ◽  
Vol 38 (7) ◽  
pp. 396-396 ◽  
Author(s):  
David Chandler
Keyword(s):  
Variable Mass ◽  
Second Law ◽  
Newton's Second Law

scholarly journals Newton’s Second Law of a particle with variable mass

2021 ◽  
Vol 43 ◽  
Author(s):  
M.T. Thomaz
Keyword(s):  
Center Of Mass ◽  
Variable Mass ◽  
Variable Number ◽  
Second Law ◽  
Constant Mass ◽  
First Case ◽  
Inertial Frames ◽  
Newton's Second Law ◽  
Over Time ◽  
Number Of Particles

We approach the question of the movement of a particle with variable mass observed from an inertial frame. We consider two different situations: (i) a particle whose intrinsic mass value varies over time; (ii) the center of mass (CM) of a set of particles with constant mass but with a variable number of particles belonging to it. We show that Newton’s Second Law distinguishes the case in which the intrinsic mass of the particle varies over time from systems composed of particles, with constant mass, whose total mass varies over time. In the first case, we study the consequences of the equation of motion of a particle with variable mass is not covariant in inertial references under Galilean transformations. We also show that the equation that drives the dynamics of the CM of a system with variable number of particles preserves the equivalence of all inertial frames under the Galilean transformations. We verify the non-conservation of the linear momentum vector of the CM of a set of free particles during the time that one particle leaves or comes into the system.

Simple variable mass systems: Newton’s second law

1990 ◽  
Vol 28 (5) ◽  
pp. 328-329 ◽  
Author(s):  
J. Matolyak ◽  
G. Matous
Keyword(s):  
Variable Mass ◽  
Second Law ◽  
Variable Mass Systems ◽  
Newton's Second Law

Feeling Newton’s Second Law

2019 ◽  
Vol 57 (2) ◽  
pp. 88-90 ◽  
Author(s):  
Vincent P. Coletta ◽  
Josh Bernardin ◽  
Daniel Pascoe ◽  
Anatol Hoemke
Keyword(s):  
Second Law ◽  
Newton's Second Law

Scootin' with Newton: Teaching Newton's Second Law Using Motion

Strategies ◽  
2002 ◽  
Vol 16 (2) ◽  
pp. 7-11
Author(s):  
Deborah A. Stevens-Smith ◽  
Shelley W. Fones
Keyword(s):  
Second Law ◽  
Newton's Second Law

A dynamic method to measure the shear strength of snow

2010 ◽  
Vol 56 (196) ◽  
pp. 333-338 ◽  
Author(s):  
Tsutomu Nakamura ◽  
Osamu Abe ◽  
Ryuhei Hashimoto ◽  
Takeshi Ohta
Keyword(s):  
Shear Strength ◽  
Strain Rate ◽  
Reasonable Agreement ◽  
Dynamic Method ◽  
Second Law ◽  
Snow Density ◽  
Newton's Second Law

AbstractA new vibration apparatus for measuring the shear strength of snow has been designed and fabricated. The force applied to a snow block is calculated using Newton’s second law. Results from this apparatus concerning the dependence of the shear strength on snow density, overburden load and strain rate are in reasonable agreement with those obtained from the work of previous researchers. Snow densities ranged from 160 to 320 kg m−3. The overburden load and strain rate ranged from 1.95 × 10−1to 7.79 × 10−1kPa and 2.9 × 10−4to 9.1 × 10−3s−1respectively.

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