The Pendulum-Lever System

Physics of the Pendulum-Lever Energy System: A Summary of Knowledge
by Jovan Marjanovic, M.Sc.

The goal of this work is to summarize the findings from previous papers along with some additional comments and also to answer two basic questions: how to construct an efficient Veljko Milkovic two-stage oscillator and how to measure the quotient of efficiency of the constructed oscillator. The goal of this paper is to explain all the facts about construction and measuring in order to facilitate other people’s efforts towards a replication embodying a high efficiency quotient. more

The Secret of Free Energy from the Pendulum by Jovan Marjanovic, M.Sc.

In this work, the author for the first time has identified centrifugal force as a source of over unity work under some conditions and also calculated maximal efficiency quotients of the machine. Problems which easy can undermine over unity behavior of machine were identified and solutions were proposed. Influence of length of pendulum and critical angle on machine efficiency were clearly explained and mathematically supported. more

	Traduzione "The Secret of Free Energy from the Pendulum" in ITALIANO Energia "Free" da un Pendolo - VERSIONE ITALIANA - ITALIAN VERSION

Keys of Understanding Gravity Machines of Veljko Milkovic by Jovan Marjanovic, M.Sc.

The goal of this work is of to clarify some issues concerning two inventions of Serbian inventor Veljko Milkovic. The first invention is two-stage mechanical oscillator and second one is inertial propulsion cart.
In this work the author will try to point out omissions in modeling the system, discuss issues with mechanical feedback loop, discuss some errors in measuring and re-calculate output energy done by Jovan Bebic, continue addressing issues started by Colin Gauld concerning Centrifugal force terminology and omission to use moment of inertia in formula for kinetic energy, challenge the first and third Newton's laws and confine the law of conservation of quantity of the movement of the system in analysis of inertial propulsion cart. more

Milkovic's Two Stage Oscillator As a Parametric Oscillator by Aleksandar B. Slavkovic

In this document I will show that Mr. Milkovic's two stage oscillator may be viewed as a damped parametric oscillator, and that pumping of energy from the driving, swinging pendulum is not a precedent in the world of physics, but rather, an expected effect due to a well-known phenomenon called parametric excitation, parametric resonance or parametric pumping. Consequently, a ready-set of modeling tools should be applicable to properly model the device.
I propose that Mr. Milkovic’s invention belongs in a new category of devices called “Double-(fulcrum)-Bounded Parametric Oscillators.” more

Common problems with mathematical models and Lagrange's equations for two-stage oscillators by Jovan Marjanovic, M.Sc.

This paper will discuss two basic problems with mathematical models of the two stage mechanical oscillator of Veljko Milkovic; problem with dynamical usage of input energy and problems with soft connection between members of the system.
The paper is written in order to describe the common problems scientists have in modeling this system and also the wrong conclusions that come out as the consequence of the usage of Lagrange’s equations which fail to describe all the facts correctly. more

Modeling and simulation of a double pendulum with pad by Bojan Petkovic, M.Sc.

In this paper, results of the simulation of a double pendulum with a horizontal pad are presented. Pendulums are arranged in such a way that in the static equilibrium, small pendulum takes the vertical position, while the big pendulum is in a horizontal position and rests on the pad. Motion during one half oscillation is investigated. Impact of the big pendulum on the pad is considered to be ideally inelastic. Characteristic positions and angular velocities of both pendulums, as well as their energies at each instant of time are presented. Obtained results proved to be in accordance with the motion of the real physical system. Double pendulum with pad refers to the two-stage mechanical oscillator that is invented, patented and constructed by Serbian inventor Veljko Milkovic. more

Oscillation of the lever caused by the swinging of the pendulum by academician prof. Bratislav Tosic, Ph.D.

Two-armed lever has a weight on one arm, and the pendulum on the other, which is oscillating forcibly because of the additional force moment created by the swinging of the pendulum. “Gradual“ oscillations of the lever are also possible, but for the selection of the masses on lever arms and the selection of the force arm and the weight arm, there are no spontaneous oscillations. The first part will contain the theory of the mathematical pendulum, and then all the results will be used for the solution of the basic problem: oscillation of the lever due to the oscillation of the pendulum. more