N identical beads (mass m) can move along the ring of radius R. Each bead is connected to the one behind it and to the one in front of it by a spring of constant k. Find all normal frequencies.

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I'm having some difficulty seeing the diagram clearly.but the question says there's a net inward force on the object.so we know right away,  from newton's 2nd law of motion, thatthat baby is accelerating.  it doesn't even matter which way thenet force is pointing.  if there's any net force, then either theobject's speed or else its direction must be changing.