Solved problems in classical mechanics

Two Problems in Classical Mechanics

A problem about the present structure of dimensional analysis, and another one about the differences between solids and fluids are suggested. Both problems appear to have certain foundational aspects. 1. Why Scaling, and why the given Groups ? Dimensional Analysis, Bluman & Kumei, is one of those fundamental aspects of Classical Physics which, nevertheless, is often left outside of one’s awaren...

Solved and unsolved problems in generalized notions of Connes amenability

We survey the recent investigations on (bounded, sequential) approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We will discuss the core problems concerning these notions and address the signicance of any solutions to them to the development of the eld.

Solutions to Problems in Goldstein, Classical Mechanics, Second Edition

A nucleus, originally at rest, decays radioactively by emitting an electron of momentum 1.73 MeV/c, and at right angles to the direction of the electron a neutrino with momentum 1.00 MeV/c. ( The MeV (million electron volt) is a unit of energy, used in modern physics, equal to 1.60 x 10 erg. Correspondingly, MeV/c is a unit of linear momentum equal to 5.34 x 10 gm-cm/sec.) In what direction doe...

Solved Problems in Random Processes

Irreversibility in Classical Mechanics

An explanation of the mechanism of irreversible dynamics was offered. The explanation was obtained within the framework of laws of classical mechanics by the expansion of Hamilton formalism. Such expansion consisted in adaptation of it to describe of the nonpotential interaction of a systems. The procedure of splitting of a system into equilibrium subsystems, presentation of subsystem’s energy ...