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    Simple Harmonic Oscillations/ springs with masses

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    Show that the values of w^2 (omega^2) for the three simple harmonic oscillations (a), (b), (c) in the diagram (Attached) are in the ratio 1:2:4.

    I said for a) that w^2 = s/2m (since the spring stiffness intuitively I think must be 1/2 less than just a single spring)

    b) w^2 = s/m

    c) w^2 = 2s/m

    Which gives a ratio of 0.5:1:2, which is "equivalent" to 1:2:4, but I'm not sure if this is the right approach.

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    Solution Preview

    Your solution is perfectly correct.

    Perhaps I can supplement your intuitive guess about the spring stiffness by showing ...

    Solution Summary

    This solution provides steps necessary to determine the values.