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A smooth piece of wire is bent in the form of a spiral with cylindrical equations r = b and z = a, where a and b are constants.
A smooth piece of wire is bent in the form of a spiral with cylindrical equations r = b and
z = aφ, where a and b are constants. If the origin is the midpoint of a force of attraction which
is directly proportional to the distance (proportionality constant k), determine the motion of a particle of mass m which slides down the wire.