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- It can be show that a plane area may he represented by a vector A=A, where A is the area and represents a unit vector normal to the piano: of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A=ab.A surface is generated by revolving the circular arc of 0.8 m radius and subtended angle of 120 degrees completely about the z-axis.The diameter of the neck is 0.6 m. Determine the outside area A generated.19 - 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)
- 16 - 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 coordinate of the homogeneous wire on the y axis?A) 17.14B) 12.33C) 13.71D) 15.29E) 14.435 - 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= 15 cm, b= 27 cm. Which of the following is the correct coordinate of the homogeneous wire in the z-axis?A) 10.33B) 12.03C) 13.71D) 11.43E) 9.0815 - 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)
- Find the surface area of the cone generated by revolving the line segment y = about x-axis, 05x5429 - 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 AB part of the homogeneous wire in the x, y and z axes given correctly?A) (36 ; 24 ; 12)B) (18 ; 12 ; 0)C) (36 ; 12 ; 0)D) (36 ; 24 ; 0)E) (36 ; 12 ; 24)7 - 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 coordinate of the homogeneous wire on the y axis?A) 17.14B) 13.71C) 12.33D) 15.29E) 14.43
- Determine the volume of a s spherical wedge of radius 2 m and a central angle of 1.25 radians.second moments=475.15 Determine, using the method of composite areas, the second moments of area of part 2 about the y-axis [units^4]. Determine, using the method of composite areas, the second moments of area of part 3 about the y-axis [units^4]. Determine, using the method of composite areas, the total second moments of area of of the composite about the y-axis [units^4].Use integration to determine the x coordinate(and only the x coord.) of the centriod of the shape(s) shown