Thinking Hard About Physics Before Calculating: An Example from Pendulum PhysicsThis paper aims to show how to guide students with a familiar example to extract as much physics as possible before jumping into mathematical calculation. The period for a physical pendulum made up…Zhiwei Chong·Jul 28, 2023SaveLearn
A Close Examination on Inelastic CollisionThis paper examines the details of an inelastic collision when a bullet shoots a block vertically upward from below. With the assumption of constant interaction force between them, we obtain…Zhiwei Chong·Jul 28, 2023SaveLearn
Slipping and rolling on a rough accelerating surfaceThe two-dimensional motion of an object on a moving rough horizontal plane is investigated. Two cases are studied: the plane having a translational acceleration, and a rotating plane. For the first…Mohammad Khorrami, Amir Aghamohammadi, Cina Aghamohammadi·Jul 28, 2023SaveLearn
Beating resonance patterns and extreme power flux skewing in anisotropic elastic platesElastic waves in anisotropic media can exhibit a power flux that is not collinear with the wave vector. This has notable consequences for waves guided in a plate. Through laser-ultrasonic…Daniel A. Kiefer, Sylvain Mezil, Claire Prada·Jul 26, 2023SaveLearn
Coupled thermoelastic isotropic laminatesWe consider in this paper the general properties of laminates designed to be isotropic in extension and in bending and with a coupling between the in- and out-of plane responses. In particular, we…Paolo Vannucci·Jul 25, 2023SaveLearn
Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamicsNetworks of nonlinear parametric resonators are promising candidates as Ising machines for annealing and optimization. These many-body out-of-equilibrium systems host complex phase diagrams of…Toni L. Heugel, R. Chitra, Alexander Eichler et al.·Jul 25, 2023SaveLearn
A biased Ising model using two coupled Kerr parametric oscillators with external forceNetworks of coupled Kerr parametric oscillators (KPOs) are a leading physical platform for analog solving of complex optimization problems. These systems are colloquially known as ``Ising…Pablo Álvarez, Davide Pittilini, Filippo Miserocchi et al.·Jul 25, 2023SaveLearn
Reflection from Inclined, Relativistic Light SailsKipping (2017) discusses relativistic reflection from light sails. As an extension to this work, we present a new formula for relativistic reflection of sunlight from a light sail moving at a…Refath Bari·Jul 22, 2023SaveLearn
A Charged Particle Must Be Treated Relativistically in Classical TheoryA charged particle which is allowed to accelerate must have relativistic behavior because it is coupled to electromagnetic radiation which propagates at the speed of light. We treat the simple…Timothy H. Boyer·Jul 19, 2023SaveLearn
For the use of exterior form in daily physics, an introduction without coordinate frameThis is a short introduction of the exterior form formalism focus on its applications in physics and then mostly aimed to physics students. As a rule of a game played here we never use a coordinate…Raphael Ducatez·Jul 13, 2023SaveLearn
Acoustic dipole surfing on its own acoustic field: toward acoustic quantum analoguesIn a recent paper [J. Fluid Mech., 952: A22 (2022)], Roux et al. demonstrated that a translating monopolar acoustic source is subjected to a self-induced radiation force opposite to its motion. This…Jean-Paul Martischang, Aymeric Roux, Michael Baudoin·Jul 13, 2023SaveLearn
Higher-order composition of short- and long-period effects for improving analytical ephemeris computationThe construction of an analytic orbit theory that takes into account the main effects of the Geopotential is notably simplified when splitting the removal of periodic effects in several stages.…Martin Lara, Elena Fantino, Hadi Susanto et al.·Jul 10, 2023SaveLearn
Great Inequality of Jupiter and Saturn I: The Planetary Three Body Problem, Heliocentric development by Lagrange multipliers, Perturbation Theory FormulationIn this paper, we undertake to present a self-contained and thorough analysis of the gravitational three body problem, with anticipated application to the Great Inequality of Jupiter and Saturn. The…Jonathan Tot, S. R. Valluri, P. C. Deshmukh·Jul 10, 2023SaveLearn
Paraxial Dirac equationIn this work, the paraxial approximation of the free Dirac equation is examined. The results are first obtained by constructing superpositions of exact solutions with suitable profiles, which are…Tomasz Radożycki·Jul 7, 2023SaveLearn
Optimal damping of vibrating systems: dependence on initial conditionsCommon criteria used for measuring performance of vibrating systems have one thing in common: they do not depend on initial conditions of the system. In some cases it is assumed that the system has…K. Lelas, I. Nakić·Jul 5, 2023SaveLearn
Classical Fisher information for differentiable dynamical systemsFisher information is a lower bound on the uncertainty in the statistical estimation of classical and quantum mechanical parameters. While some deterministic dynamical systems are not subject to…Mohamed Sahbani, Swetamber Das, Jason R. Green·Jun 28, 2023SaveLearn
The geometric tensor for classical statesWe use the Liouville eigenfunctions to define a classical version of the geometric tensor and study its relationship with the classical adiabatic gauge potential (AGP). We focus on integrable systems…A. D. Bermúdez Manjarres·Jun 28, 2023SaveLearn
The effects of wing inertial forces and mean stroke angle on the pitch stability of hovering insectsThis paper discusses the wing inertial effects on stability of pitch motion of hovering insects. The paper also presents a dynamic model appropriate for using averaging techniques and discusses the…Sevak Tahmasian, Braeden Kotulak-Smith·Jun 27, 2023SaveLearn
Observation of Two-Dimensional Acoustic Bound States in the ContinuumThe design of devices based on acoustic or optical fields requires the fabrication of cavities and structures capable of efficiently trapping these waves. A special type of cavity can be designed to…Marc Martí-Sabaté, Junfei Li, Bahram Djafari-Rouhani et al.·Jun 27, 2023SaveLearn
Jefimenko Made Easy: Electromagnetic Fields through RetardationOleg D. Jefimenko's electrodynamics textbook is unique in its approaches to deriving the electric and magnetic fields of arbitrary charge and current distributions and of an arbitrarily moving point…Shengchao Alfred Li·Jun 25, 2023SaveLearn
Algebraic solution for the classical harmonic oscillatorThe harmonic oscillator is one of the most studied systems in Physics with a myriad of applications. One of the first problems solved in a Quantum Mechanics course is calculating the energy spectrum…Murilo B. Alves·Jun 23, 2023SaveLearn
Subwavelength pulse focusing and perfect absorption in the Maxwell fisheyeMaxwell's fisheye is a paradigm for an absolute optical instrument with a refractive index deduced from the stereographic projection of a sphere on a plane. We investigate experimentally the…Gautier Lefebvre, Marc Dubois, Younes Achaoui et al.·Jun 23, 2023SaveLearn
Smeared Field Description of Free Electromagnetic FieldFree electromagnetic fields, satisfying Maxwell's equations with no charges and electric currents, can be described by complex vector fields. In the standard formulation with fields sharply…Jerzy A. Przeszowski·Jun 13, 2023SaveLearn
Modal formulation of Kirchhoff's law for reciprocal structuresKirchhoff's law provides a relation between the incident fields a structure can absorb and those it thermally emits. It is generally formulated as a relation between the angle-dependent…D. Tihon, S. Withington·Jun 9, 2023SaveLearn
On the Effective Mass of Mechanical Lattices with MicrostructureWe present a general formalism for the analysis of mechanical lattices with microstructure using the concept of effective mass. We first revisit a classical case of microstructure being modeled by a…Francesco Fedele, Phanish Suryanarayana, Arash Yavari·Jun 8, 2023SaveLearn