Question

is w=(k/m)^1/2 for vertical spring systems also?

Answer 1

ok, so let's do a little recap. what's the mean position in simple harmonic motion? well, the mean position is the position where the net force acting on the particle is zero. so whenever you have to find the mean position, simply find the net force and equate it to zero.

now in a vertical spring system, let's find the mean position.