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The Work of a Normal Force

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Journal of Applied Mathematics and Physics 2017年第5期5卷 1113-1119页

作者： pirooz mohazzabi Department of Mathematics and Physics University of Wisconsin-Parkside Kenosha WI USA

It is shown that an impulsive force acting on a particle perpendicular to its velocity vector cannot change its direction of motion without increasing its kinetic energy. If the particle’s kinetic energy is to remain unchanged, the impulsive force must have a component in the direction opposite to the direction of motion. This situation is also realized in the case of a continuous force acting perpendicular to the velocity vector of the particle, when the particle's motion is viewed as a sequence of infinitesimal steps.

关键词： Work Normal Force Kinetic Energy Speed

Foucault Pendulum and Other Coriolis Effects in Inertial Frames

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Journal of Applied Mathematics and Physics 2017年第5期5卷 1016-1026页

作者： pirooz mohazzabi Department of Mathematics and Physics University of Wisconsin-Parkside Kenosha WI USA

The purpose of this research is to show that Foaucault pendulum as well as other Coriolis effects, which are normally studied in a rotating coordinate system, can also be analyzed in a fixed reference frame. To this end, Foucault pendulum and other Coriolis effects are studied in inertial reference frames. The approach is simple, yet rigorous, and the results are exactly the same as those obtained in non-inertial reference frames but without resorting to some of the assumptions that are needed in rotating coordinate systems.

关键词： Foucault Pendulum Coriolis Inertial Non-Inertial Frame

Has the Twin Paradox Really Been Resolved?

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Journal of Applied Mathematics and Physics 2021年第9期9卷 2187-2192页

作者： pirooz mohazzabi Qinghua Luo Department of Mathematics and Physics University of Wisconsin-Parkside Kenosha WI USA

Despite several attempts that have been made to explain the twin paradox, which are based on asymmetry and acceleration, it is shown that none of these explanations can resolve the paradox in the general case. Three specific examples of the twin paradox are provided in which the system is completely symmetric;consequently the existing explanations are not able to resolve the paradox.

关键词： Twin Paradox Asymmetry Acceleration Relativity Lorentz Transformation

Models and Monte Carlo Simulations of the Mean Sinuosity of Major Meandering Rivers

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Journal of Applied Mathematics and Physics 2022年第7期10卷 2368-2380页

作者： pirooz mohazzabi Qinghua Luo Department of Mathematics and Physics University of Wisconsin-Parkside Kenosha USA

The purpose of this research is to investigate the sinuosity of major rivers in the United States and the world, and to compare them to that predicted by the existing theories. It is shown that the average sinuosity of meandering rivers deviates considerably from what has been reported previously as π. Calculations of the mean value of actual sinuosities of major rivers in the United States and in the World show that this average is very close to 2. Exact models as well as a Monte Carlo simulation for meandering rivers that is based on Gaussian probability distribution function are also presented, and the possibility of composite meandering is discussed.

关键词： Meandering River Sinuosity Simulation Gaussian

Linearization of Intrinsically Nonlinear Oscillators

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Journal of Applied Mathematics and Physics 2024年第8期12卷 2829-2835页

作者： pirooz mohazzabi Qinghua Luo Ilirian Dhimitruka Department of Mathematics and Physics University of Wisconsin-Parkside Kenosha WI USA Department of Chemistry University of Wisconsin-Parkside Kenosha WI USA

We show that an intrinsically nonlinear oscillator can always be transformed into a linear or harmonic oscillator by addition of a constant force, which shifts the equilibrium position of the oscillator.

关键词： Intrinsic Nonlinear Oscillator Linearization

A Mathematical Model for Spread of COVID-19 in the World

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Journal of Applied Mathematics and Physics 2021年第8期9卷 1890-1895页

作者： pirooz mohazzabi Gabrielle Richardson Gwendolyn Richardson Department of Mathematics and Physics University of Wisconsin-Parkside Kenosha WI USA

In this article, the validity of a previously developed model for Coronavirus pandemic is verified by testing it against the global infection cases complied by the World Health Organization. The results further suppor... 详细信息

关键词： Coronavirus Pandemic World COVID-19

An Algorithm for Generating Random Numbers with Normal Distribution

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Journal of Applied Mathematics and Physics 2019年第11期7卷 2712-2722页

作者： pirooz mohazzabi Michael J. Connolly Department of Mathematics and Physics University of Wisconsin-Parkside Kenosha WI USA

A new algorithm is suggested based on the central limit theorem for generating pseudo-random numbers with a specified normal or Gaussian probability density function. The suggested algorithm is very simple but highly ... 详细信息

关键词： Random Numbers Central Limit Theorem Normal Distribution Gaussian Distribution

Maxwell-Boltzmann Distribution in Solids

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Journal of Applied Mathematics and Physics 2018年第3期6卷 602-612页

作者： pirooz mohazzabi Siva P. Shankar Department of Mathematics and Physics University of Wisconsin-Parkside Kenosha WI USA

The velocity distribution functions of particles in one- and three-dimensional harmonic solids are investigated through molecular dynamics simulations. It is shown that, as in the case of dense fluids, these distribution functions still obey the Maxwell-Boltzmann law and the assumption of molecular chaos remains valid even at low temperatures.

关键词： Maxwell-Boltzmann Velocity Distribution Function Solids

Damping of a Simple Pendulum Due to Drag on Its String

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Journal of Applied Mathematics and Physics 2017年第1期5卷 122-130页

作者： pirooz mohazzabi Siva P. Shankar Department of Mathematics and Physics University of Wisconsin-Parkside Kenosha WI USA

A basic classical example of simple harmonic motion is the simple pendulum, consisting of a small bob and a massless string. In a vacuum with zero air resistance, such a pendulum will continue to oscillate indefinitely with a constant amplitude. However, the amplitude of a simple pendulum oscillating in air continuously decreases as its mechanical energy is gradually lost due to air resistance. To this end, it is generally perceived that the main role in the dissipation of mechanical energy is played by the bob of the pendulum, and that the string’s contribution is negligible. The purpose of this research is to experimentally investigate the merit of this assumption. Thus, we experimentally investigate the damping of a simple pendulum as a function of its string diameter and compare that to the contribution from its bob. We find out that although in some cases the effect of the string might be small or even negligible, in general the string can play a significant role, and in some cases even a greater role on the damping of the pendulum than its bob.

关键词： Simple Pendulum String Damping Air Resistance Drag