Steady State Angle of a Pendulum with Wind

I'm having trouble solving this problem. I'm trying to find the steady state angle of a rod with wind /fluid drag. Assume Cd, L, U, etc. are known. The viscous and form drag forces are a function of the angle θ so I don't have enough equations to solve the problem. Maybe there's some type of Lagrangian approach to this that I'm not thinking about. It seems like a simple problem but I'm missing something. See image.

Thanks,
imurphy

Attached Images

Pendulum with wind.jpg (13.1 KB)