Determine the depth of the water at which the gate start to fall. Give that the gate is 5 m height and 3 m width.
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- One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.The uniform control gate AB shown is pinned at A and rests on the smooth surface at B. The gate has a width of 1m. If the gate has a mass of 3.9 Mg, determne the maximum depth of water h in the reservoir that will cause the gate to be on the verge of opening.A triangular wooden body (S=0.80) is placed in water in theposition indicated in the figure. If the width of the body is 7.0 m,determine if the same for this position is stable or not indicating themetacentric height (YM).
- A horizontal tunnel having a diameter of 3m is closed by a vertical gate. When the tunnel is (a) 1/2 full (b) 3/4 of water, determine the magnitude and location of the total force.EMERGENCY!!!! The cover in the figure is hinged at the center O and has a fixed width w = 5 m. The equation of the surface is x = y2 / a (a = 3 m), the depth of the water to the right of the lid (D = 4 m). If the weight of the lid is neglected, it is necessary to keep the lid in balance. Find the size of the force (Fa) required, as shown. Take the density of the water as 999 kg / m3.A 6-m-high, 5-m-wide rectangular plate blocks the end of a 5-m-deep freshwater channel, as shown . The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge
- The gate shown is 3.0 m wide (into the page), hinges around the bottom point, and for the purposes of this analysis can be considered massless. A weight is attached to the top point, and is threaded through a frictionless pulley. For what depth of water (d) will this rectangular gate be in equilibrium at an angle of 60o as shown?An open tank 2 m x 4 m rectangular horizontal section has anegligible weight and contains water to a depth of 1.5 m. It is actedupon by an unbalanced force of 50 kN parallel to longer side so thatwater is about to spill. If the tank is closed and theacceleration is increased by 4 m/s ², determine the new unbalancedforce if the pressure on the surface is 30 kPa.The 280-kg, 6-m-wide rectangular gate is hinged at B and leans against the floor at A making an angle of 45° with the horizontal. The gate is to be opened from its lower edge by applying a normal force at its center. Determine the minimum force F required to open the water gate.
- 1. A rectangular plane surface is 2m wide and 3m deep. It lies in a vertical plane inthe water. Determine the total pressure and position of the center of pressure on theplane surface when its upper edge is horizontal (a)coincides with watersurface and (b) 2.5m below the free water surfaceA 4-m-long quarter-circular gate of radius 4 m and of negligible weight is hinged about its upper edge A, as shown in the figure. The gate controls the flow of water over the ledge at B, where the gate is pressed by a spring. Determine the minimum spring force (in N) required to keep the gate closed when the water level rises to A at the upper edge of the gate. Round your answer to 2 decimal places.A circular wooden log is floating in water. It has a diameter of 1.41m, length of 6.5m, and submerged at a depth of 0.37m. Determine the density(kg/m^3) of the log.