What is the Maximum Height of a Pendulum Ball with Constant Wind Force?

[emily27]

a ball having mass m is connected by a strong string of length L to a pivot point and held in place in a vertical position. a wind exerting constant force of magnitude F is blowing from left to right. if the ball is released from rest, show that the maximum height H it reaches, as measured from its initial height, is H = 2L/1 + (mg/F)^2

i am not sure where to start from.. please be specific and show your steps. thank you!

 

[AJ Bentley]

Try resolving forces perpendicular to the string.