If the potential energy for a conservative two-degree-of-freedom system is expressed by the relation V = ay2

Question:

If the potential energy for a conservative two-degree-of-freedom system is expressed by the relation V = ay2 + bx2, where y and x, determine the equilibrium positions and investigate the stability at each position.

Given:

A = 3 N/M

B = 2 N/M

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