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

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The discussion focuses on calculating the maximum height H of a pendulum ball influenced by a constant wind force F. The ball, with mass m, is suspended by a string of length L and initially held vertically. Upon release, the forces acting on the ball include gravitational force and the wind force, which need to be resolved. The key formula derived for the maximum height reached by the ball is H = 2L / (1 + (mg/F)²). The conversation emphasizes the importance of resolving forces perpendicular to the string to arrive at this conclusion.
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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!
 
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Try resolving forces perpendicular to the string.
 

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