A mass of 1000 kg drops from a height of 10.0 m onto a platform of negligible mass.
It is desired to design a spring and damper on which to mount the platform so that it
will settle to a new equilibrium position 2.00 m below its original position as quickly
as possible without overshooting.
Find the spring constant k and the damping parameter
if the system is critically
ω^2(frequency squared)=γ^2(damping parameter squared)
E=U=mgh at equilibrium
The Attempt at a Solution
First, I solved for energy:
Then for the spring constant:
But now I need amplitude, so this is where I taking a shot in the dark:
Now I was thinking to say that if t goes to infinity, x is 2, but it gave me no information... I need help! please and thank you