9-70. Determine the location c and cone.
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- 9-6. Locate the centroid y of the area. Problem 9-6 1 m =1-1x² - y = 1 2 -2 m X6-49. 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 min5-102 Locate the centroid of the shaded area shown in Fig. 100 mm 60 mm 60 mm 100 mm 160 mm 40 mm 40 mm 180 mm 180 mm
- Locate the centroid of the circular wire segment shown in Fig. 9-9. x = R cos e- dL = Rde C(2, 9) R OP (R, 6) ỹ = R sin e Fig. 9-9Determine the x- and y-coordinates of the mass center of the homogeneous plate of uniform thickness t = 0.30 in. Assume b = 25 in., h = 16 in. x = ky² Thickness t Answers: i in. = i in.5-101 Locate the centroid of the shaded area shown in Fig. y y? = 2x 2 in. y= 0.52 2 in.
- Q3 Find the centroid Y of unsymmetrical I- section shown below with respect to its base 120mm 30 Ma 20gm10-86. The paraboloid is formed by revolving the shaded area around the x axis. Determine the radius of gyration k, of the paraboloid. The density of the material is p = 5 Mg/m³. Problem 10-86 y² = 50 x- 200 mm 100 mm XProb. 9-128 The center of mass will co the center of gravity pr acceleration of gravity is con gate has a width of 1.5 m. p, = 1.0 Mg/m³. 1.5 m 1.25 m- B. gate is pinned at its ting by the block at B. orts due to hydrostatic The centroid is the loca geometric center for the determined in a similar ma- 2 m moment balance of geomet such as line, area, or volur 60° For bodies having a contin moments are summed
- Determine thex- and y-coordinates of the mass center of the homogeneous plate of uniform thickness t = 0.30 in. Assume b = 25 in., h = 16 in. x = ky? h Thickness t Answers: i in. y = i in.6-47. Locate the center of mass (7,5, 7) of the homogeneous block assembly. 250 mm 00 mm 150 mm l00 mm L50 mm 1s0 mm-10 -9 8 7 6 5 4 3 2 Table Part rectangle triangle x = Complete the table below and detemine the coordinates of the centroid of the composite shape. Consider the shape to be made up of a rectangle and a triangle with a circle removed. The circular hole has a diameter of 5 in, centered at (-1, 5). circle Σ Centroid 104 -9- 8 O 2 -1- A Ai IS y = Ti 4 Qx A 5 6 7 8 9 10 11 Yi A₁ Ti Aiyi