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The value of hands-on experiments in an upper-division classical mechanics course
Published 2025-01-01Subjects: Get full text
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Complex Reaction Kinetics in Chemistry: A Unified Picture Suggested by Mechanics in Physics
Published 2018-01-01“…Here, we analyze the formal analogy between the mathematical backbone of (classical) reaction kinetics in Chemistry and that of (classical) mechanics in Physics. We first show that standard cooperative kinetics can be framed in terms of classical mechanics, where the emerging phenomenology can be obtained by applying the principle of least action of classical mechanics. …”
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Weyl-Euler-Lagrange Equations of Motion on Flat Manifold
Published 2015-01-01“…Also, one way of solving problems in classical mechanics occurs with the help of the Euler-Lagrange equations. …”
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Observation on the foundation of kinetic theory of gases
Published 1982-01-01“…The significance of the Boltzmann model for a system of particles treated by classical mechanics is briefly explained. An apparent, but inherent difficulty in this model is pointed out.…”
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On internal constraints in continuum mechanics
Published 2006-01-01“…It is curious that in continuum mechanics, however, the implications of the result in classical mechanics have not been clearly understood. In this paper, we show that in dealing with the response of dissipative systems, one cannot require that constraints do no work or ignore the fact that the material response functions depend on the constraint reaction. …”
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Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz Force
Published 2010-01-01“…We review the formulation of the problem of electromagnetic self-interaction of a relativistic charged particle in the framework of the manifestly covariant classical mechanics of Stueckeleberg, Horwitz, and Piron. …”
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Novel Analytical and Numerical Approximations to the Forced Damped Parametric Driven Pendulum Oscillator: Chebyshev Collocation Method
Published 2022-01-01“…The obtained results help many authors to understand the mechanism of many phenomena related to the plasma physics, classical mechanics, quantum mechanics, optical fiber, and electronic circuits.…”
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Symmetries, variational principles, and quantum dynamics
Published 2004-01-01“…Such measure establishes the one-to-one correspondence with classical mechanics and, for this reason, allows a free choice of the useful dynamical variables. …”
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Techniques for Finding Analytical Solution of Generalized Fuzzy Differential Equations with Applications
Published 2023-01-01“…Engineering and applied mathematics disciplines that involve differential equations include classical mechanics, thermodynamics, electrodynamics, and general relativity. …”
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An experimental approach to a variable-period damped oscillatory system similar to a bouncing ball and an adaptation to an electromagnetic brake
Published 2025-01-01“…The problem of a ball bouncing in n-hops, despite being a problem extremely easy to observe, is a problem treated by classical mechanics and which, to this day, is without an analytical solution, due to its complexity of mathematical modeling. …”
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The Mathematical Model for the Tippe Top Inversion
Published 2021-01-01“…The dynamics of rotating objects is an area of classical mechanics that has many unsolved problems. Among these problems are the gyroscopic effects manifested by the spinning objects of different forms. …”
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Color Confinement and Spatial Dimensions in the Complex-Sedenion Space
Published 2017-01-01“…The application of complex-sedenions is capable of depicting not only the field equations of classical mechanics, but also the field equations of quantum mechanics. …”
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Pressure-Shear Crack Initiation and Expansion Mechanism of Complex Cracked Rock Mass under the Seepage Stress
Published 2023-01-01“…The crack initiation criterion under compressive shear stress state is analyzed by taking the theory of fracture mechanics and classical mechanics. The coupling equation in the extended finite element simulation is established. …”
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Experimental Investigation on Multiscale Fracturing in Thermally Treated Sandstone under SHPB Impact Loading
Published 2021-01-01“…The results show that two classical mechanical types (i.e., Class I and Class II) are observed from the dynamic stress-strain responses of SHPB tests for thermally treated sandstone. …”
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A framework for soft mechanism driven robots
Published 2025-02-01“…We introduce a multi-material design and printing framework that extends classical mechanism design to soft robotics, synergizing the strengths of soft and rigid materials while mitigating their respective limitations. …”
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Stratifications and foliations in phase portraits of gene network models
Published 2023-01-01“…In contrast with this classical mechanical case, the foliations considered in this paper have singularities: all their leaves have a non-empty intersection, they contain limit cycles on their boundaries. …”
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