Consequences of a generalized law of the lever

We discuss the controversy about the demonstration of the law of the lever as given by Archimedes. One aspect of the discussion concentrates on the meaning of the postulates which he utilized. We analyze what consequences would arise if nature behaved in such a way that the lever followed a generalized power law. In particular, we consider the cases of a torque independent of the distances of the bodies to the fulcrum, proportional to these distances, and quadratic in the distances.7715458PIBIC/SAE/UNICA

Distortion of Ampere's electromagnetic work in the textbooks

We analyze how some representative textbooks present Ampere's electromagnetic work. We show that this information is distorted and does not correspond to the historical facts. This leads to an erroneous view about the evolution of physics and about the formulation of its laws.291657

Calculation of the centre of gravity of the cone utilizing the method of Archimedes

Archimedes calculated the centre of gravity of the cone but the proof of this theorem is not extant in his works. Knorr made a reconstruction of this proof utilizing geometrical arguments. This paper proves this theorem by means of a physical demonstration utilizing the law of the lever, and by adapting from Archimedes the method of mechanical theorems that he described in his letter to Eratosthenes.33363764

Comparison between Weber's electrodynamics and classical electrodynamics

We present the main aspects of Weber's electrodynamics and of Maxwell's equations. We discuss Maxwell's point of view related to Weber's electrodynamics. We compare Weber's force with Lorentz's force. We analyse the relation between Weber's law and Maxwell's equations. Finally, we discuss some experiments performed and proposed with which we can distinguish Weber's force from Lorentz's one.55339340

WEBER LAW AND MASS VARIATION

136627728

WEBERS FORCE VERSUS LORENTZS FORCE

We make a comparison between Weber's force and Lorentz's force. First, we present the historical appearance of these two forces. Then we show their theoretical and conceptual differences. After this we discuss some different predictions of experiments with these two expressions showing how they can be distinguished in the laboratory.8333534

On the propagation of electromagnetic signals in wires and coaxial cables according to Weber's electrodynamics

We derive the equation describing the flow of a variable current in straight wires and in coaxial cables from Newton's second law of motion plus Weber's electro-dynamics. We show that in both cases the signal propagates at light velocity.3071107112

CAN A STEADY CURRENT GENERATE AN ELECTRIC-FIELD

We present the results for the electric and magnetic fields due to linear and circular current distributions according to Weber's theory. We show how the electric field predicted by Weber's law is compatible with the anomalous diffusion in plasmas. Finally, we discuss some modern experiments related to this topic and compare the results of these experiments with a prediction based on Weber's law.4110911

Proof of the identity between Ampere and Grassmann's forces

We consider a poloidal current flowing over the surface of a conducting cylinder of length l and radius a. We calculate exactly the force on a surface current element belonging to this cylinder due to the remainder of the circuit with Ampere and Grassmann's expressions. We conclude that the formulae agree with one another for any value of l/a. We then generalize this result for any current element belonging to a closed surface or volumetric currents of arbitrary forms.56655455

A critical analysis of Helmholtz's argument against Weber's electrodynamics

We present Helmholtz's argument against Weber's electrodynamics. It is related with a fixed charged nonconducting spherical shell and a charged particle moving inside it. Then we utilize Weber's electrodynamics plus Schrodinger's expression for gravitational interactions in older to obtain the equation of motion and to study this situation. We show that this approach avoids the problems pointed out by Helmholtz. Moreover, it indicates that rile effective inertial mass of the charged particle will depend not only on the electrostatic potential of the shell but also on its velocity. This is a relevant aspect of Weber's theory.27101445145