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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.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. Using appropriate software, investigate the effect of water depth on the force exerted on the plate by the ridge. Let the water depth vary from 0 to 5 m in increments of 0.5 m. Tabulate and plot your results.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.
- A 4-m-long quarter-circular gate of radius 2 m and of negligible weight is hinged about its upper edge A. 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 required to keep the gate closed when the water level rises to A at the upper edge of the gate.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.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.
- 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?A 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 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater channel, as shown inthe Figure 2 below. The plate is hinged about a horizontal axis along its upper edge through a point Aand is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate bythe ridge. Clearly state all asuumptions and illustrations.
- 6-m-wide rectangular gate shown 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.two vertical parallel glass plates 0.1 mm apart are partially immersed in water. Considering that the water does not reach the upper edges of the sheets and that the liquid completely wets the glass, determine: a) the height that rises in the flat capillary, b) the attractive force between the plates. Consider the width of the sheet l=12cm and density y=72.8*10^-3 N/mA 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).