There is a rectangular channel at the tank outflow. There is a concrete block at the end of the channel. This block is protected against horizontal movement by the obstacle. So it means that it can only overturn. This block holds the water only by its weight. It means the block is not firmly connected with the bottom or with the walls. The block dimensions are height C, width B. The block depth is the same as channel width. The density of water is pw and the density of concrete is pb. The water height in the tank is hy. Derive an expressinon for the minimum block height C to hold the water inside the tank. Neglect the friction between the block and walls. Ambient pressure is atmospheric pressure. Do not count with the hydrostatic force on the bottom of the block. Derive an analytical expression for the Cmin as a function of given parameters Channel width Concrete block Pw Obstacle B Given parameters: H,B, pw. Pb, hw Find out: Cmin=? b. h3 %3D Hint: 12 H

There is a rectangular channel at the tank outflow. There is a concrete block at the end of the channel. This block is protected against horizontal movement by the obstacle. So it means that it can only overturn. This block holds the water only by its weight. It means the block is not firmly connected with the bottom or with the walls. The block dimensions are height C, width B. The block depth is the same as channel width. The density of water is pw and the density of concrete is pb. The water height in the tank is hy. Derive an expressinon for the minimum block height C to hold the water inside the tank. Neglect the friction between the block and walls. Ambient pressure is atmospheric pressure. Do not count with the hydrostatic force on the bottom of the block. Derive an analytical expression for the Cmin as a function of given parameters Channel width Concrete block Pw Obstacle B Given parameters: H,B, pw. Pb, hw Find out: Cmin=? b. h3 %3D Hint: 12 H