Water stands at a depth h behind the vertical face of a dam as shown. It exerts a resultant horizontal force (F) on the dam, which tends to slide it along its foundation and the torque ( τ ) is tendin

Question

Water stands at a depth h behind the vertical face of a dam as shown. It exerts a resultant horizontal force (F) on the dam, which tends to slide it along its foundation and the torque ( τ ) is tending to overturn the dam about O .

TestHub · Accepted Answer

The resultant force F acts at h /3 from the base. The torque τ about O is F × ( h /3 ) . The force F = 2 1 ​ ρ g h 2 ℓ . So, τ = ( 2 1 ​ ρ g h 2 ℓ ) × ( 3 h ​ ) = 6 1 ​ ρ g ℓ h 3 .

Physics - Fluid Question with Solution | TestHub

Options:

Doubts & Discussion