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1.2 Equilibrium Solutions

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Equilibrium solutions of the equations of motion are those where the degrees of freedom assume values which cause their first and second derivatives to go to zero. Under these conditions, there will be no tendency for the values of the degrees of freedom to change and the system will be in an equilibrium state.

Some equilibrium states are stable and some are unstable and, inevitably, systems are either in a stable equilibrium state or trying to get to one. The study of small motions around a stable equilibrium state is called Vibrations.

Introduction to Mechanical Vibrations

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