Learn how to model a mass–hanging mass system using the Lagrangian method! This tutorial walks through deriving equations of motion and understanding the physics behind coupled systems. Perfect for ...

Starting from a diagrammatic analysis of the equation of motion method, we derive an effective interaction theory for a correlated model space where the basis vectors correspond physically to the ...

1 Department of Basic Courses, Suzhou Key Lab of Multi-Modal Data Fusion and Intelligent Healthcare, Suzhou City University, Suzhou, China 2 School of Science, Xi’an University of Architecture and ...

Fluctuation properties of the kinetic Alfvén mode, such as polarization of the wave electric and magnetic field around the mean magnetic field, parallel fluctuation to the mean field, ratios of the ...

Equation of cat motion. Credit: Anxo Biasi Starting from this formula, and through the analysis of feline motion, it is possible to show how the equations themselves are constructed. "The work ...

ABSTRACT: By the two-scale homogenization approach we justify a two-scale model of ion transport through a layered membrane, with flows being driven by a pressure gradient and an external electrical ...

Small deflections in both a thin rectangular plate and a thin circular plate are studied via the variational method. In order to apply Hamilton’s principle to this system, the potential energy is ...