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A combination of two simple harmonic motions with arbitrary amplitudes and phases is not necessarily...

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A combination of two simple harmonic motions with arbitrary amplitudes and phases is not necessarily periodic It is periodic only if frequency of one motion is an integral multiple of the other s frequency However a periodic motion can always be expressed as a sum of infinite number of harmonic motions with appropriate amplitudes The period of SHM does not depend on amplitude or energy or the phase constant phite under gravitation Kepler s third

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