T = 2π√(m/k)
mx'' + kx = 0
F = ma
The Attempt at a Solution
I don't honestly know where to start with this. I'm really out of my league in this class, and I'm trying my best to catch up with the things I didn't quite master in Dynamics and Physics...
As far as I can tell, gravity pushes the mass down at a rate of:
This then compresses k2 and elongates k1. So I should combine them into getting a keq because they are combined and he displacement is the same for each due to the mass moving linearly?
keq = (1/k1 + 1/k2)-1
That doesn't seem quite like i have enough because gravity is at play. If this were perfectly horizontal, there'd be nothing left but to plug keq back into the equation for T.
So I need to derive the relationship between gravity and the k coefficient because T doesn't imply any need for gravity to affect it, but it should. That's where I think I'm lost, though I probably went off track way earlier...