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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 reached by the ball, as measured from its initial height, is H= (2L)/(1+(mg/F)^2) Check that the above result is valid both for cases when 0<H,L and for L<H<2L.

So far, I know that I'm supposed to use FLsin(theta)=mgH

and integrate it -> W=(integral)FLcos(theta)d(theta)

But I have no idea at all where to go from here! Please, i really need help now! I don't have much time left for this!