The parabolic gate shown is \(2 \mathrm{~m}\) wide and pivoted at \(O\); \(c=0.25 \mathrm{~m}^{-1}, D=2 \mathrm{~m}\), and \(H=3 \mathrm{~m}\). Determine

(a) the magnitude and line of action of the vertical force on the gate due to the water,

(b) the horizontal force applied at \(A\) required to maintain the gate in equilibrium, and

(c) the vertical force applied at \(A\) required to maintain the gate in equilibrium.

Transcribed Image Text:

H D 0 Water y=cr P3.58 Gate x