Q3) Determine the center of gravity of the below figure symmetrical about the y-axis, then discuss your results. - 300 mm 150 mm B H E 400 mm Fig. Q3. uau 00t
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- Find the elevation h (km) where the weight of an object is one-tenth its weight on the surface of the earth.The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.Determine the volume of the concrete arch dam.
- The center of gravity of the plane wire figure is located at G. Determine the lengths a and b.Using the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.By integration, find the centroid of the surface of the hemisphere. Compare your result With Table 8.4.
- Using integration, locate the centroid of the area under the n-th order parabola in terms of b, h, and n (n is a positive integer). (b) Check the result of part (a) with Table 8.1 for the case n = 2.Calculate the resultant force caused by the water acting on the parabolic arch dam. The water levels are 16 ft on the upstream side and zero on the downstream side. For water, use =62.4lb/ft3.A solid mat has a diameter of 3.81 cm and a relative density of 0.089. It floats in water at a depth "h". Determine this height if: al the thrust due to the air is negligible b) the thrust of the air is not negligible PAIRE=1,225kg/m° (use 4 decimal places for your calculations).
- 10. A trapezoid with parallel bases measur 2m and 4m, respectively. Find the location of its center of gravity, measured from the longer side, if its altitude is 3m. (Solution Needed)Find the height of the portion of a cubic block that extends below the water surface (h) , the specific gravities of block and seawater are given to be SG = 0.778 and 1.025, respectively. h1 = 13.1cmA storage vessel for gasoline (sg=0.68) is a vertical cylinder 0.5 m in diameter. If it is filled to a depth of 39 cm, calculate the mass of the gasoline in kg.