Titlebook: Mechanics; W. Chester Book 1979 W. Chester 1979 Hamiltonian.Newton’s laws.Potential.Rigid body.calculus.differential equation.dynamics.kin

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Resisting Forces, opposite in sense according to Newton’s third law. When the bodies are ideally smooth the reactions are perpendicular to the plane of contact, which is the common tangential plane for bodies of continuous curvature. It is, however, a matter of everyday experience that when one body slides on anothe

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Central Forces, force field. The motion of a particle subject to a central force is of particular interest because of its wide application to problems as diverse as the motion of the planets and the motion of electrons. The central force most commonly found in nature is one which varies inversely as the square of

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Moments, of dynamics; rather they are extensions of the vector algebra introduced in Chapter 1. However, the discussion is a necessary preliminary to the next chapter which deals with the dynamics of rigid bodies.

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Rigid Bodies,of particles. For economy of notation the suffix . labelling a particular particle is omitted in (11.1.1), so that . represents the resultant of the external and internal forces on a typical particle of mass ., position vector . and acceleration .. When the internal forces form a null system (that i

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,Virtual Work and Lagrange’s Equations,ystem of external forces is equivalent to the system of mass accelerations. Now in §10.6 we derived the result that the work of equivalent systems of vectors is the same, to first order, for an arbitrary small rigid body displacement. In particular the work of a null system is zero, to first order,

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Non-Linear Problems,ablished theory which is developed on the basis of linear differential equations. One reason for this is that most of these problems are too difficult to solve in their full generality, and it is necessary to look for a simplifying procedure. Since linear differential equations are more easily solve

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