Consider the following dam gate (hinged at the bottom) in the form of a quarter circle. Assume the density of water as 1000 kg/m3, width of the gate to be 3m and radius of the gate as 1 m. Which of the following statements are true?

1
The horizontal force acting on the gate = 14.7 KN
2
The vertical force acting on the gate = 23 KN
3
The horizontal force to be applied at A to keep the gate in equilibrium = 14.6 KN
4
The horizontal force acts on the gate at 0.5 m from the top

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