One ring to rule them all. 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.

Which of the following situations is impossible? a) an object has velocity directed east and acceleration directed east. b) an object has zero velocity but non-zero acceleration. c) an object has constant non-zero velocity and changing acceleration. d) an object has velocity directed east and acceleration directed west. e) an object has constant non-zero acceleration and changing velocity.