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Linear, Cubic and Quintic Coordinate-Dependent Forces and Kinematic Characteristics of a Spring-Mass System
By combining a pair of linear springs we devise a nonlinear vibrator. For a one dimensional scenario the nonlinear force is composed of a polynomial of odd powers of position-dependent variable greater than or equal three. ...
Simulation of Transverse Standing Waves
(Scientific research, 2014-08)
Solutions of a hyperbolic partial differential equation in one dimension with appropriate initial and boundary conditions are conducive to standing waves. We consider practical initial deformations not reported in ...
Angular Impulse and Spinning Bouncing Ball
A solid ball of mass m, size r and spin ω about an axis through its center is dropped freely from a height h on a rough horizontal plane. Assuming its angular momentum is parallel to the horizontal plane upon impact it ...