Consider the palte hinged at O as shown in


Let a jet be allowed to strike on the plate and the plate swing about the hinge through an angle ( ).

Let   W = weight of plate
         d = depth of plate

Taking moment about Hinged O,

Mo = F x d/2 + W d/2 sin θ = 0

F d/2 = W d/2 sin θ

sin θ = F / W

To keep the plate vertical, the for required is P as shown in  

Again moment about hinged

F x d/2 = P x d

P = F / 2

Similarly, if F strikes at ¾ L from the hinge as shown in.

sin θ = ¾ Fd / W d/2

sin θ = 3F / 2W       and

P = F x ¾ d / d

P = ¾ F

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