Please give me correct answer with explain and solve by hand please (Force on plane surface) A gate having the triangular shape shown in the figure beļow is located in the vertical side of an open tank. Thegate is hinged about the horizontal axis AB. The force of the water on the gate creates a moment with respect to the axis AB.Determine the magnitude of this moment.Water7.9 mVerticalwallGate6.0 m6.7 m -5.6 m6.7 mMAB -kN-m

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Answered: (Force on plane surface) A gate having…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Determine the magnitude and point of application of the horizontal and vertical compenents of the hydrostatic pressure force acting on the prismatic surface a b c d e. The surface lenght (dimension perpendicular to the figure) is 4.5 m. The unit weight of water =9.81 Kn/m3
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 cover is D = 4 m. Find the magnitude of the applied force (Fa) as shown. Take the density of water as 999kg / m3.
In the image shown, what is the resultant force acting on the 0.7m high and 0.7m wide triangular gate and its line of action?
A caisson for closing the entrance to a dry dock is of trapezoidal from 16 m wide at the top and 12 m wide at the bottom and 8 m deep. Find the total force in MN on the caisson if the water on the outside is 1 m below the top level of the caisson and the dock is empty. enclude your free body diagram. a.117.72 b.80.93 c.3.164 d.37.77
The gate of the figure supports a maximum moment of 180kN-m in the support in a. Determine the height maximum h of water that supports. The width is 2.0m. mass of the gate 1000 kg.
Calculate the horizontal and vertical components of the hydrostatic thrust on the 90 cm radius cylindrical cover in the figure for the unit cover depth. Find the resultant force for the 3m cover depth. γwater= 9.810 kN/m3
Find the force applied by support BC to the gate AB. The width of the gate and support is 3 m and the weight of the gate is 1500 N.
Consider the gate shown The gate has a width of 1 m. ρw = 1.0 Mg/m^3. Suppose that a = 2.5 m, b = 1.5 m, c = 1.35 m. Determine the magnitude of the resultant force acting on the gate ABC due to hydrostatic pressure.
A traffic signal is shown in the figure below. There are two traffic lights A and B, attached to a 5m long overhang at a height of 6m from ground. The weight of each light is given to be 100N. Due to heavy winds there is a net force of 20N on each light acting along the z direction. Approximate the curved overhang by a straight line and determine the moment acting at the ground support G due to these forces.
In the set-up shown below, why do the hydrostatic forces on the inner and outer curved surfaces have no effect on the moment about point O?
How do you calculate the external forces' resultant?
A dam is used to store water, and a rectangular gate which is hinged at its bottom edge is used to control the flow as shown in figure 1. For this gate, width = 1 m (in the direction of the page) , α = 65°, h1 = 1 m, and h2 = 5 m. Figure 1: Schematic for task 1. (Giancoli et al.) a. Describe the forces acting on the gate and the center of pressure. b. Determine the resultant force and the position of the center of pressure on the gate. c. What is the maximum gate mass that is needed for it not to fall? d. Show yc, yR, hc, hR, FR, and W on the free body diagram.

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