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(a) Three equal mass points have equilibrium positions at the vertices of an equilateral triangle. They are connected by equal springs that lie along the ares of the circle circumscribing the triangle. Mass points and springs are constrained to move only on the circle. so that, for example, the potential energy of a spring is determined by the are length coveted. Determine the eigenfrequencies and normal modes of small oscillations in the plane, identify physically any zero frequencies. (b) Supp
(a) Three equal mass points have equilibrium positions at the vertic…
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