How Does Frequency Depend on Gravity in Classical Mechanics?

[Arij]

Homework Statement

how from this question using Energy principles I can find how frequency depends on g?

Homework Equations

The Attempt at a Solution

I know that frequency is sqrt(k/m) this is a formula you use in introductory physics. but I am lost on how to do it from energy route or Newtons law?

thanks.

 

[cnh1995]

For part a:
What will be the work done against the restoring force when the other end is displaced by an infinitesimally small amount dx? This work is nothing but the potential energy stored in the spring for infinitesimal displacement dx.