6-49. Determine the distance 7 to the centroid of the shape that consists of a cone with a hole of height h - 50 mm bored into its base. 500 mm 50 mm 150 min
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- Q1/. Determine the coordinates of the centroid of the shaded area. See figure (1). 50 40 -140 Disensione in millimeters Fig (1) FatDetermine the volume Vand total surface area A of the solid generated by revolving the area shown through 180° about the z-axis. 31 mm 24 mm 65 mm Answers: V= mm? A = mm?Determine the volume Vand total surface area A of the solid generated by revolving the area shown through 180° about the z-axis. 43 mm 30 mm 81 mm Answers: V = i mm3 A = mm2
- The cube is 12 inches in dimensions. The cylindrical hole is 5 inches in diameter and 6 inches drilled in it. The hole is filled by a metal pin with γm= 50-lb. The wood γw= 50-lb. Locate the center of gravity of the body.Locate the centroid of the cross section below Hint: Cut the cross section into a rectangular shapes and determine thecentroids of the each rectangle. Use the formula AT (X) = A1 (x1) + A2(x2) + A3 (x3) to solve for x and AT (y)= A1(y1) + A2 (y2) + A3y3t o solve for Y. AT = A1+A2 + A3The cube is 12 inches in dimensions. The cylindrical hole is 5 inches in diameter and 6 inches drilled in it. The hole is filled by a metal pin with ym = 50-lb. The wood w = 50-lb. Locate the center of gravity of the body.
- Locate the centroid z of the homogeneous solid formed by revolving the shaded area about the z axis. 2 ft z}(12 - 8y) 2 ft -y -1.5 ft-Use integration to determine the x coordinate of the centroid of the shape. Take h = 7.94 and L=22 Enter your answer in the answer box below to 1 decimal place.Half the cross section of the steel housing is shown in the figure. There are six 10-mm-diameter bolt holes around its rim. The density of steel is 8.10 Mg/m3 . The housing is a full circular part. Determine its mass.
- *6-48. Determine the distanceh to which a 100-mm-diameter hole must be bored into the base of the cone so that the center of gravity of the resulting shape is located at ? - 115 mm. The material has a density of 8 Mg/m'. so0 mm S0 mmi 150Determine the x- and y-coordinates of the centroid of the shaded area. 80 -120 80 150 Dimensions in millimeters Answers: (X,Y) = ( i ) mm i1-2. 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