A harmonic oscillator is driven at its natural frequency by an outside force. If the spring constant is 187.5 N/m and the oscillator's mass is 26.1 kg, what is the driving frequency? The damping constant is 15.2 kg/s.
m(d^2x/dt^2)= -kx -b(dx/dt) + Fcos(wt)
A= F/(m((wd^2-wo^2)^2 + (b^2)(wd^2/m^2))^.5
The Attempt at a Solution
We are given three of the necessary factors for the first equation but not x so i'm not sure if I can use it. I considered using the formula for Amplitude so that A=v/w. I also know that w=(k/m)^.5. However don't have force.
I don't have a great understanding of driven oscillations, (my book has all of 2 paragraphs on it) so any information is helpful. thanks