A mass m is attached to one end of a massless spring with a force constant k and an unstretched length l0. The other end of the spring is free to turn about a nail driven into a frictionless, horizontal surface. The mass is made to revolve in a circle with an angular frequency of revolution ω.
Calculate the length l of the spring as a function of ω.
2. Relevant equations
F = ω2*l*m
FSpring = k*l
3. The attempt at a solution
Fspring = Fcirc
-k*l = ω2*l*m
The issue I am having is how to get L by itself, or what I am supposed to do with l0. Can someone guide me on where I should head in order to solve this problem? The issue is l cancels when I divide, unless I am supposed to use l0 in place of l