50 cm. I 2000 (고) 30 CM usok Calculate the coordinates of the center of gravity of the homogeneous compound in the figure.
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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.The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the catenary is the shape of a cable suspended between two points). Locate the y-coordinate 0f the centroid of the catenary by numerical integration using x=25ft.Determine the dimensions of constants A and B far which the following equation is dimensionally homogeneous: F=Akx2sinBxk where F is a force, x is a distance, and k represents stiffness (dimensions: [FL1]).
- Using the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.Compute the surface area of the axi-symmetric domed structure.Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
- In the figure, a homogenous, planar plate with a constant thickness is given on the (x, y) axis set. Calculate the center of gravity M(xM, yM)of the plate by creating a table. (cm) only HANDWRITTEN answer needed ( NOT TYPED)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-VEcalculate tensor for 7 densily Ĵ inestia the rectongular and lamina 8 mass of dimensiems anis Cline) through at 2ax26 about an ene Corner be the origin -
- 24 - Constant thickness homogeneous planar plate in the figure coordinates of the center of gravity M (Xm, Ym) of the surface area, Find it on the (x, y) set. t = 3 cm and a = 9 cm. Find the coordinates (Xm; Ym) of the rectangle extracted from this planar plate in the x and y axes.A) (9; 15)B) (9; 13)C) (9; 25.5)D) (9; 18)E) (9; 22.5)Scanned information in the form, find it according to the reference.Information on the UPN400 profile; its center of gravity belongs to ex = 2.65cm and its area to A = 91.5cm2 find the center of gravity of the given shape(THİS İS A QUESTİON) (Information about the upn 400 profile is given in the image.)3 - Obtain the center of gravity of the surface area of the constant thickness plane plate in the figure in the (x, y) set given. Dimensions a = 13 m, b = 17 m and r = 1 m, the center of the circle is at the point (2a, 1/2 b). Which of the following is the correct coordinates of the center of gravity of the triangle on the plate?A) (36.67; 7.67)B) (43.33; 5.67)C) (43.33; 7.67)D) (40; 7.67)E) (36.67; 5.67)