The system performs small oscillations in the vertical, Mechanical Engineering

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The system performs small oscillations in the vertical

A particle A of mass 3m is suspended from a fixed point O by a spring of strength α and a second particle B of mass 2m is suspended from A by a second identical spring.

The system performs small oscillations in the vertical straight line through O. Find the normal frequencies, the forms of the normal modes, and a set of normal coordinates.

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