Direct, analytic solution for the electromagnetic vector potential in any gaugeWe derive an analytic solution for the electromagnetic vector potential in any gauge directly from Maxwell's equations for potentials for an arbitrary time-dependent charge-current distribution. No…Kuo-Ho Yang, Robert D. Nevels·Jul 2, 2025SaveLearn
Energetically efficient, mediated mechanical system for precise control of hoisting operationsWe introduce a mechanical control system for energy efficient and robust hoisting crane operations. The control system efficiently translates the harmonic motion of a spring loaded mediating system…Mikel Palmero, Juan Gonzalo Muga, Ander Tobalina·Jul 2, 2025SaveLearn
Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes ProblemThis article proposes an in-depth investigation into the emergence of thermoacoustic waves from a variational formalism rooted in non-equilibrium thermodynamics. Differing from traditional approaches…Gabriel R. de Andrade Silva·Jul 2, 2025SaveLearn
Facets of Brachistochronic TrajectoriesThis paper studies brachistochrone trajectories. Four rules are formulated as sufficient conditions. Two rules apply for a general conservative force. Two rules apply for a central force. A central…David Agmon, Ady Mann·Jun 30, 2025SaveLearn
Physics. Tasks With SolutionsThe study guide (textbook) is part of a set of materials designed to support high-quality practical training in physics. It includes a collection of tasks for organizing both in-class and independent…Lidiia L. Chinarova, Ivan L. Andronov, Nina V. Savchuk et al.·Jun 27, 2025SaveLearn
Modelling the non-linear dynamics of the looping pendulumThe Looping pendulum phenomenon was first introduced in 2019 at the 32nd edition of the IYPT, wherein a lighter bob sweeps around a cylindrical rod to support the weight of a heavier bob. In this…Avighna Daruka, Gyaneshwaran Gomathinayagam, Aneesh Agarwal·Jun 26, 2025SaveLearn
The circular disc made of linear elastic incompressible material and the 'bathyscaphe lesson'A linear elastic circular disc is analyzed under a self-equilibrated system of loads applied along its boundary. A distinctive feature of the investigation, conducted using complex variable analysis,…D. Bigoni, S. G. Mogilevskaya, A. Piccolroaz et al.·Jun 25, 2025SaveLearn
An alternative interpretation of the Grioli gyroscope suspension pointsWe present a detailed analysis of all possible regular precessions of a heavy asymmetric body with a fixed point not coinciding with the center of mass. The calculations are done in terms of the…Alexei A. Deriglazov·Jun 24, 2025SaveLearn
A solvable microscopic model for the propagation of light in a dielectric mediumMaxwell's equations resemble Schr\"odinger's equation in that an exact solution for a well-defined model delivers all physically relevant details. Solvable microscopic electrodynamic models, however,…Richard Dengler·Jun 20, 2025SaveLearn
Mathematical modelling in Physics: deterministic processesBasic principles of mathematical modeling are reviewed in this book, with the focus on physics and its practical applications, and examples of selected mathematical methods are presented. Most of the…Sergej Pankratow·Jun 20, 2025SaveLearn
Geometric sensitivity of modal parameters in wind instrument models: a case study on saxophone intonationThe Transfer Matrix Method is a practical approach for modeling plane wave propagation in one-dimensional waveguides. Its simplicity makes it especially attractive for accounting for viscothermal…Nathan Szwarcberg, Tom Colinot, Christophe Vergez et al.·Jun 19, 2025SaveLearn
On the action for a charged particle moving in a magnetic fieldApplication of the Bohr-Wilson-Sommerfeld quantization condition to a charged particle in a uniform magnetic field requires knowledge of the canonical momentum of such a particle, which in turn…Manoj K. Harbola·Jun 19, 2025SaveLearn
Torsional vibration of a coupled cylinderThe torsion loading of a coupled cylinder, comprising distinct upper and lower cylindrical sections potentially made of different materials, is considered. The bottom of the cylinder is fixed in…Igor Istenes, Daniel Peck, Yuriy Protserov et al.·Jun 13, 2025SaveLearn
Motion in time of a swinging Atwood machineAn exact solution for the motion in time of the swinging Atwood machine is presented. The trajectories of the so called teardrop-heart orbits are obtained considering an extended Hamiltonian and a…Giorgio Carizi·Jun 12, 2025SaveLearn
Asymptotic potential of a rose-shaped diskBased on extensive numerical evidence, a recent paper (Sheng Chen et al., Eur. J. Phys. 45 (2024), 045703) suggested that the potential of a uniformly charged rose-shaped disk in the plane of…Alina E. Sagaydak, Zurab K. Silagadze·Jun 12, 2025SaveLearn
On the transpositional relation for nonholonomic systemsThis paper investigates the dynamics of nonholonomic mechanical systems, with a particular focus on the fundamental variational assumptions and the role of the transpositional rule. We analyze how…Federico Talamucci·Jun 11, 2025SaveLearn
Impacts between multibody systems and deformable structuresCollisions and impacts are the principal reasons for impulsive motions, which we frequently see in dynamic responses of systems. Precise modelling of impacts is a challenging problem due to the lack…Lipinski Krzysztof·Jun 10, 2025SaveLearn
Radiation-Reaction on the Straight-Line Motion of a Point Charge accelerated by a constant applied Electric Field in an Electromagnetic Bopp-Land\'e-Thomas-Podolsky vacuumThe radiation-reaction problem of standard Lorentz electrodynamics with point charges is pathological, standing in contrast to Bopp--Land\'e--Thomas--Podolsky (BLTP) electrodynamics where it is in…Ryan J. McGuigan, Michael K. -H. Kiessling·Jun 10, 2025SaveLearn
Geometric invariance from outer surfaces: Laplace-governed magnetization in the high-permeability limitThe magnetization of bodies in static fields is a textbook topic in electrodynamics, governed by Laplace equations with interface continuity (transmission) conditions. In the infinite-permeability…Yujun Shi·Jun 10, 2025SaveLearn
On the motion of a point charge in a plate capacitor considering influence effectsA point charge between the plates of a capacitor generates an influence charge distribution on the plates that modify the electric field acting upon the point charge. This effect is described by the…Heinz-Jürgen Schmidt, Thomas Bröcker·Jun 6, 2025SaveLearn
Modeling the Electrostatic Potential of Disks with Arbitrary Radial Charge ProfilesIn this work, we present an analytical study of the electrostatic potential generated by a charged disk with a surface charge distribution that possesses radial axial symmetry. We express the…Jose Ricardo de Sousa, Marcio Gomes da Silva, Orion Ciftja·Jun 6, 2025SaveLearn
Register jumps on the clarinet: numerical and in-vitro investigation into basins of attraction and phase-tippingWhen playing the clarinet, opening the register hole allows for a transition from the first to the second register, producing a twelfth interval. On an artificial player system, the blowing pressure…Nathan Szwarcberg, Tom Colinot, Christophe Vergez et al.·Jun 4, 2025SaveLearn
Planck Law from a Classical Free Energy Extremum Involving Fisher InformationWe derive the Planck law from a classical variational principle over probability densities, without invoking quantum states, quantized oscillator energies, or ensemble averages. We construct a…Carlos A. Gomez-Uribe·May 31, 2025SaveLearn
Geometric adiabatic angle in anisotropic oscillatorsWe discuss a classical anisotropic oscillator and the Foucault pendulum as examples illustrating non-conservation of action variables in integrable classical mechanical systems with adiabatically…Fumika Suzuki, Nikolai A. Sinitsyn·May 31, 2025SaveLearn
Does Newtonian dynamics need Euclidean space?We present an elementary deduction of the Newtonian force from Kepler's laws. We relate it to a generalization by Jacobi of the Keplerian motion, where the Euclidean form in the plane is replaced by…Alain Albouy·May 30, 2025SaveLearn