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- 16 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the homogeneous wire in the x, y and z axes given correctly?A) (23.57 ; 11.43 ; 17.14)B) (23.57 ; 17.14 ; 11.43)C) (28.29 ; 13.71 ; 20.57)D) (20.61 ; 13.03 ; 9.08)E) (28.29 ; 20.57 ; 13.71)15 - Find the center of gravity M of the three dimensional homogeneous wire ABCD by using the coordinate set (x, y, z) in the figure. The dimensions of the wire are a = 20 cm, b = 30 cm. Which of the following is the correct coordinates of the BC part of the homogeneous wire in the x, y and z axes?A) (30; 20; 10)B) (30; 10; 0)C) (30; 20; 0)D) (15; 20; 20)E) (30; 20; 20)Compute the surface area of the axi-symmetric domed structure.
- Determine the centroidal coordinates of the plane region.13 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD using the coordinate set (x, y, z) in the figure. The dimensions of the wire are a = 24 cm, b = 36 cm. The coordinates of the AB part of the homogeneous wire in the x, y and z axes are given in the following:A) (36; 12; 0)B) (36; 24; 0)C) (36; 24; 12)D) (18; 12; 0)E) (36; 12; 24)1-2. Calculate the coordinates of the centroids of these shapes in terms of a and h. y=mx y=kx2 ans: (a/2, 2h/5) h x y y = kx3 ans: (2a/5, 4h/7) h x
- Find the Centroid with respect to the origin point.5/27 Determine the x-coordinate of the centroid of the solid spherical segment. Ans. i = ER y IR R 2 2 Problem 5/2710 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the CD part of the homogeneous wire in the x, y and z axes correctly given?A) (18 ; 24 ; 0)B) (18 ; 12 ; 24)C) (18 ; 12 ; 0)D) (18 ; 24 ; 24)E) (18 ; 24 ; 12)
- Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about thexaxis. Step 1 From the figure consider the representative rectangle. The radius of the solid of revolution obtained by revolving the rectangle about the xacis is R(X) -y9- To find the volume of a solid of revolution with the-Select mathod, use the horizontal axis of revolution. Select disk shel Volume-VE19 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD using the coordinate set (x, y, z) in the figure. The dimensions of the wire are a = 20 cm, b = 30 cm. Which of the following is the correct coordinates of the BC part of the homogeneous wire in the x, y and z axes?A) (30; 20; 10)B) (30; 10; 0)C) (15; 20; 20)D) (30; 20; 0)E) (30; 20; 20)Q3 Find the centroid Y of unsymmetrical I- section shown below with respect to its base 120mm 30 Ma 20gm