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Harmonic oscillators

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If i had two spring coupled to one mass with each end of the springs fixed.

|---spring---{mass}--spring----|

neglecting friction and gravity, if the mass is displaced horizontally. would it oscillate forever? if not how can u get the maximum amplitude of oscillation for a given period of time before it dies down. Equations are welcomed too.

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The expert examines harmonic oscillators two spring couples with one mass.

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If there is no friction or any other dissipative forces, ...

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