Three equal masses arranged in a equilateral triangle are connected by 'springs' with force constants 'k'(adsbygoogle = window.adsbygoogle || []).push({});

the coordinates of the masses are:

mass 1 at [0, [tex]\sqrt{3}[/tex]/2*L]

mass 2 at [L/2, 0]

mass 3 at [-L/2,0]

find the normal mode frequencies.

The only part i am having trouble with is setting up the potential energy i know what to do after I have the potential energy.

so far i have

U = 1/2 * k (x_2 - x_3)^2

i know there are more terms in the potential but i am having trouble projecting the deviations from equilibrium onto the diagonals.

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# Classical Mechanics 3 Masses

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