The inverted pendulum system is widely used in the study of control theory. There are many advantages pendulum: equipment cheap, and it features a simple structure easy regulation. But since also typical nonlinear, multivariable system, it’s really difficult thing to keep stable. Because this, important figure out way stabilize system. More importantly, new methods will be discovered during pro...

Pendulums are simple mechanical systems that have been studied for centuries and exhibit many aspects of modern dynamical theory. In particular, the double pendulum is a prototypical chaotic system frequently used to illustrate variety phenomena in nonlinear dynamics. this work, we explore existence implications codimension-1 invariant manifolds pendulum, which originate from unstable periodic ...

The paper reports new findings about Galileo’s experiments with pendulums and discusses their significance in the context of Galileo’s writings. The methodology is based on a phenomenological approach to Galileo’s experiments, supported by computer modelling and close analysis of extant textual evidence. This methodology has allowed the author to shed light on some puzzles that Galileo’s experi...

The exact expression for the maximum tension of a pendulum string is used to obtain a closed-form approximate expression for the solution of a simple pendulum in terms of elementary functions. This approximate solution has a rational harmonic expression and depends on an unknown function, which must be determined. This unknown function is expanded using the Padé approximant and two new paramete...

There exists a set of reversible primitive modules that may be combined according to a set of simple rules to create larger systems, which are themselves reversible primitive modules. These modules may be combined to create a fully reversible, universal computer. I describe techniques for creating reversible primitive modules from simple switches, such as conventional CMOS transistors, and the ...

"Self organized criticality" describes the tendency of strongly dissipative systems to show relaxation behavior involving a wide range of length and time scales .[1] The phenomenon is expected to be quite universal ; indeed, it has been looked for in such diverse areas as earthquake structure[2] and economics.[3] The idea provides an unifying concept for large scale behavior in systems with man...

Free and forced oscillations of a torsion spring pendulum damped by viscous and dry (Coulomb) friction are investigated analytically and with the help of computer simulations. An idealized mathematical model of dry friction described by the so-called z-characteristic is assumed. This simple physical model can explain many peculiarities in behavior of various oscillatory systems with dry frictio...

Abstract The application of smartphones in physics learning is inevitable because the advanced technology installed them. simple pendulum a classical topic relating to gravitational acceleration. Smartphones are equipped with proximity sensor that can record period an oscillating pendulum. A method determine acceleration ( g ) using smartphone experiment was presented this study. This proposed ...

objective: to investigate the friction of rabbit’s knee joint with designed pendulum friction tester to diagnose and evaluate different pathological and therapeutic conditions following haemarthrosis, osteoarthritis, and other joint disorders. materials and methods: friction coefficient of 10 adult male albino rabbit’s joint (5 right and 5 left knees) weighted 1.59 ± 0.27 kg, after designing a...