1. The problem statement, all variables and given/known data Consider the following underdamped oscillator governed by: u''(t) + ¥u'(t) + w02u(t)=Fcos(wt) (a) Find the ge...... (b) The hom.... (c) What is the forcing frequency w for which the amplitude R in the previous part attains a maximum? Show that it is always less than the natural frequency w0. 2. Relevant equations ? 3. The attempt at a solution So, I solved the problem in part (a) and put it in the form Rcos(wt-µ) in part (b). I've looked over my work several times; the answer is messy. You can try it for yourself if you really feel like it. Otherwise, trust me when I say that the long term solution (getting rid of the homogenous equation since it involves crap in the form e-at, where a is positive) is [F(w02-w2)]/[(w02-w2)2+(wy)2]*√[1+(wy)2/(w02-w2)2]*cos(wt-tan-1(wy/(w02-w2)). .....so how do I find the right w to maximize the amplitude? I have no idea. Please explain in detail. This assignment is due tomorrow morning.