Newtons laws and springs?

Question

A particle of mass M moves on a rough horizontal table with constant coefficient of friction μ. The particle is attached to a spring of natural length l and elastic constant Mk, whose other end is attached to a fixed point O on the table.

Find the distance from O of the point at which the particle first comes to rest. Now show that it will remain at this point unless

Vo > μg √3/k

Answer 1

Use the displacement of the spring in the formula F=spring coefficient*displacement. This will give you the force exerted on the mass. The force opposing the spring's will be that of friction and will equal F=coefficient of kinetic friction*mass*gravity. Eventually it will reach equilibrium and you can use Newton's kinetic laws to figure when the one force will cancel out the other. I'm not exactly sure what Vo > μg √3/k means because k is a label for kinetic friction an has no value unless you meant μ_k. What the question is asking however is to show that unless the spring force can overcome the force exerted by static/kinetic friction, the object won't move.