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Normal modes of oscillation

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AB and BC are two rods, smoothly jointed at B, and suspended from a smooth fixed support A. The rods AB and BC are each of length l. AB has mass m, BC has mass 3m/2. Calculate the periods of the normal modes of oscillation in the vertical plane.

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The following posting helps calculate the periods of the normal modes of oscillation in the vertical plane.

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In this problem it is convenient to introduce an angle alpha between the part AB and the verical and the angle between ...

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