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Normal modes refer to fundamental patterns of motion of a system which oscillate at fixed, well defined frequencies. They may be used as building blocks for more complicated motions.
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What's the physical interpretation of an arbitrary normal mode for masses and springs?
Consider the following system consisting of 3 masses and 4 springs :
I have learned that this system posseses three normal modes, corresponding to its three natural frequencies, say $\om …
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Coupled oscillators and Normal Modes
Consider we have a system consisting of 2 arbitrary masses and 3 arbitrary springs connecting them horizontally and between fixed walls, and we want to obtain the motion of each mass after we input s …