A uniform rod is suspended in a horizontal position by, Mechanical Engineering

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A uniform rod is suspended in a horizontal position by

A uniform rod is suspended in a horizontal position by unequal vertical strings of lengths b, c attached to its ends. Show that the frequency of the in-plane swinging mode is ((b + c)g/2bc)^1/2, and that the frequencies of the other modes satisfy the equation

bcµ2 - 2a(b+c)µ + 3a² = 0

where µ = aω²/g. Find the normal frequencies for the particular case in which b = 3a and c = 8a.

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Mechanical Engineering: A uniform rod is suspended in a horizontal position by

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