9-69. A triangular plate made of homogeneous material has a constant thickness that is very small. If it is folded over as shown, determine the location z of the plate's center of gravity G. 1 in. 1 in. 3 in. 6 in. 1 in. 3 in. 3 in. 3 in. 1 in.

Q: Locate the centroid of the given plate with respect to the origin of the given space axis.

A: The height of the triangle can be determined as, The area of the rectangle, triangle and…

Q: 20 mm -30 mm- 36 mm 24 mm

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Q: Determine the location of the centroid of the yellow region from the y axis. The larger diameter is…

A: We are given the following data: Larger diameter, D=50 mm Smaller diameter, d=25 mm

Q: Find the centroid of the given plate. The values of B = 140 mm, D = 120 mm, b-60 mm & d=15 mm. %3D…

A: B = 140 mm D = 120 mm b = 60 mm d = 15 mm

Q: 10 *.Q1) A) Find the centroid location of the following shape y xp Э ст y = 9-x 9 cm 3 сm

A: Let us consider the elemental area  dA=ydx determine the total shaded area

Q: Locate the center of gravity of the hammer if the mass of the steel head is 0.919 kg, and the mass…

A: The center of gravity of the hammer is x-=0, y-=-3.12 mm, z-=5.21 mm.

Q: Locate the center of mass x̄ of the straight rod if itsmass per unit length is given by m = m0(1 +…

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Q: Determine the volume of the solid obtained by rotating the area of Prob. 5.4 about (a) the x axis,…

A: Consider the diagram shown below for the given cross-section.

Q: Determine the volume of the solid generated by rotating the parabolic area shown about (a) the x…

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Q: Locate the centroid of the homogeneous solid formed by revolving the shaded area about the y axis.…

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Q: Determine the second moments with respect to x- (hori- zontal) and y- (vertical) axes through the…

A: Since the total area is symmetric about the vertical axis, the x-coordinate of the centroid of the…

Q: 9-62. Locate the centroid (x, y) of the member's cross- sectional area. 30 mm 40 mm 50 mm 100 mm -60…

A: We will draw the cross section of the members: As shown above the cross section is divided into…

Q: y 100 mm 140 mm 50 mm 140 mm -200 mm-

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Q: Determine the coordinates of the centroid of the shaded area. 30 80 Answers: x = y y = i IN i 60 30…

A: The shaded area with their individual element marked are given below,

Q: Determine the center of mass in y axis (ỹ) of the homogeneous solid block. L = 0.48m 5L 4L 3L 2L 3L…

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Q: Determine the y-coordinate of the centroid of the area under the sine curve shown. Answer: y = 1…

A: Correct answer: pi/2 = 1.57

Q: 9-79. Locate the center of mass 7 of the solid formed by boring a hemispherical hole into a cylinder…

A: Density of cone material = 7.80 Mg/m3 Density of cylinder material = 2.70 Mg/m3

Q: Perimetro (r+ 2)- R Área - 10" 16" 10 10 10 Determine the center of gravity with respect to the…

A: Given: R= 12 in

Q: 1.2 m 0-3m Osm. 2.2m Q. locate the Centroid Por the following areas:

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Q: Determine the x-and y-coordinates of the centroid of the shaded area shown 3", 3" 6" -1.75" - 1.75"…

A: Given Data: The radius of the hole, r=1.75''

Q: Determine the volume of the solid generated by rotating the parabolic area shown about (a) the x…

A: The diagram can be redrawn as, The location of the centroid of the parabola is, x,y=0,2h3 The area…

Q: Locate the centroid z of the homogeneous solid formed by revolving the shaded area about the z axis.…

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Q: Locate the centroid 7 of the volume. 2m

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Q: 9-58. 150 mm Determine the location y of the centroidal axis r-r of the beam's cross-sectional area.…

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Q: Determine the centroid of the composite area as shown in the figure: 20 cm

A: Length, L = 25 cm  Height of rectangle, h1 = 30 cm    Height of triangle, h2…

Q: Determine the y-coordinate of the centroid of the shaded area. T 0.38h Answer: y = y T 65 65° i x h

A: Given data: ◆ The height of the bigger triangle = h ◆ The height of the smaller triangle = 0.38 h ◆…

Q: y = x³ 1m 1 m The location of the centroid from the x-axis is equal to 0.29 m O 0.27 m 0.33 m O 0.31…

A: Given: The span of area on x-axis, x = 1 m The span of area on y-axis, y = 1 m

Q: Find the centroid of the area of the composite area.

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Q: Find the centroid of the given plate with a circular hole of diameter 80 mm

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Q: Determine the volume and the surface area of the solid obtained by rotating the area of Prob. 5.8…

A: Given Data; The dimensions in the figure. The figures and calculation shown below, S.No. Area,…

Q: Locate the centroid of the circular wire segment shown in Fig. 9–9. -x = R cos 0- dL = Rde C(x, 9) R…

A: GivenA circular wire segmentTo findCentroid

Q: Q5/ For the volume shown in Fig. (5), locate the centroid C(X, Y, Z) -20 -30 25 35

A: Given: r1 = 30 unit h1 = 35 unit r2 = 20 unit h2 = 25 unit

Q: Locate the center of mass of the assembly. The cylinder and the cone are made from materials having…

A:

Q: The centroid of the shaded area is located

A: Draw the diagram of the shaded area with 6 parts. Each part has its centroid.     Write the…

Q: Determine the surface area and revolving the shaded area 360° about the z axis. 3 m 6 m

A: Given Data :

Q: Locate the centroid z of the homogeneous solid formed by revolving the shaded area about the z axis.…

A:

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Q: Half the cross section of the steel housing is shown in the figure. There are six 10-mm-diameter…

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Q: of the disk a? + y?< 9 in the first quadrant and the density at each point is given A lamina…

A: As per company policy, we are restricted to solve only three sub-part in one question at a time.…

Q: 1304 804 400 500 500

A: For solution refer below images.

Q: 1) Determine the Centroid of the Shaded Area, Tabulate your answers and solution. Y 450 mm 300 mm r…

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Q: *= ky

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Q: Locate the centroid of the plane area shown if a = 34 mm and b = 41 mm. b a (units) (units) ||

A: we know ,  CG about X axis ,  CG of a element can be calculated as ,  x¯=A1X1+A2X2A1+A2

Q: Determine the coordinates of the centroid of the shaded area. y 10 E 20 -20 10 30 40 20 65…

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Q: Q5/ For the volume shown in Fig. (5), locate the centroid C(X, Y, Z) -20- 30 25 35

A: For the given volume shown in the figure, we have to calculate the centroid.…

Q: 6. Locate the centroid z of the homogeneous solid formed by revolving the shaded area about the z…

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Q: Determine the centroid for the given composite section with respect to the origin, take a = 30.5 mm

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Q: Determine the x- and y-coordinates of the centroid of the shaded area. 8" 3". 5" E 7" 10" Answers:…

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Q: Locate the centroid of the plane area shown. 40 mm 80 mm r-60 mm 40 mm 120 mm r= 40 mm -120 mm

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.