Calculating Maximum Height and Equilibrium Height of Pendulum with Wind Force

[John John]

Homework Statement

A ball of mass m = 300 g is connected by a strong string of length L = 80.0 cm to a pivot and held in place with the string vertical. A wind exerts constant force F to the right on the ball as in the figure below. The ball is released from rest. The wind makes it swing up to attain maximum height Hmax above its starting point before it swings down again.

Homework Equations

(a) Find Hmax as a function of F.
(f) Now consider the equilibrium height of the ball with the wind blowing. Determine it as a function of F.

The Attempt at a Solution

The work done by F is equal to the balls potential energy at height H, but how do I express that work?

 

[mfb]

F*[the displacement in the direction of that force]?