Titlebook: Classical Mechanics; Systems of Particles Walter Greiner Textbook 2010Latest edition Springer-Verlag Berlin Heidelberg 2010 Classical Dynam

Canyon

arrhythmic

者变

Angelika Tölke,Karsten Hank,Peter A. BergerVibrations of masses coupled by elastic forces are an ubiquitous class of mechanical systems. As the first and most simple system of vibrating mass points, we consider the free vibration of two mass points, fixed to two walls by springs of equal spring constant.

Host142

CAJ

https://doi.org/10.1007/978-3-642-30181-0A rigid, rotating body is called a top. A top is called symmetric if two of its principal moments of inertia are equal. In this chapter, we will discuss the basic features of the theory of the symmetric top.

激励

Free Fall on the Rotating EarthOn the earth, the form of the basic equation of mechanics derived in the previous chapter holds if we neglect the rotation about the sun and therefore consider a coordinate system at the earth center as an inertial system. In this chapter, we will discuss the effect of the earth’ rotation on the motion of masses near the earth’ surface.

mettlesome

Foucault’s PendulumIn 1851, Foucault found a simple and convincing proof of the earth rotation: A pendulum tends to maintain its plane of motion, independent of any rotation of the suspension point. If such a rotation is nevertheless observed in a laboratory, one can only conclude that the laboratory (i.e., the earth) rotates.

Pudendal-Nerve

Degrees of FreedomThe number of degrees of freedom . of a system represents the number of coordinates that are necessary to describe the motion of the particles of the system. A mass point that can freely move in space has 3 translational degrees of freedom: (.,.,.). If there are . mass points freely movable in space, this system has 3. degrees of freedom.

粗糙滥制

Mechanical Fundamental Quantities of Systems of Mass PointsIf we consider a system of mass points, the total force acting on the .th particle is the sum of the forces of the particle . on the particle .; .. is the force acting on the particle . from the outside of the system; ∑... is the resulting internal force of all other particles on the particle ..

Calculus