Answer the following questions by considering the frame Oxy and the flat surface represented in the figure below. Determine: a) the coordenates of the centroid of the shaded area; b) the volume of the solid body which is obtained by the revolution of 180° around y-axis. Justify your answer, c) the second order moment of the shaded area around y-axis. Semi-ellipse

Q: 10 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the…

A: Given data :- a = 36 cm  b = 24 cm  Find:-  Coordinates of CD part ?

Q: - 60 - 60- 60 4Y R = 80 80 80- Figure: la and Figur

A: 1a.

Q: 5. In the figure shown, the 0.3-m by 0.3-m square plate had a triangular notch punched off the left…

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Q: For the plane area shown in the figure below, determine the location of the centroids from the given…

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Q: Find the centroid of the shaded portion as shown in figure. Where b1 =85 mm, d %3D

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Q: Q2: Determine the centroid and the moment of inertia about x-axis for the figure as shown: 0.5 cm 3…

A: From the given figure: Length CD=10 Cm Length AB=0.5+3+0.5=4 Cm So location of the centroid from the…

Q: For a beam with the cross-section shown, calculate the moment of inertia about the z axis. Assume…

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Q: ind off only on the final answer expressed in 3 decimal places. centroids MQ(1)JPG a b/2 b/2

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Q: the y-component (m) of the centroid of the given figure if the cut portion is a semicircle of radius…

A: y = ∑aiyi∑aiai = area of ith elementyi = y coordinate of centroid of ith element

Q: Q. 2 Find the position of centroid with respect to given X and Y axis of shaded portion in the…

A: Divide the composite shape into 5 simple shapes. Shape 1 - Right angle triangle Shape 2 - Rectangle…

Q: Locate the centroid of the shaded area as shown in the Figure with respect to the x and y-axis.

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Q: This question is made of two parts: Part A-Locate the centroid C (x, y) of the shaded area of the…

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Q: 0.80m 0.40m 0.30m X. 0.30m 0.80m 0.30m 0.30m 0.60m

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Q: A rectangle has: length (parallel to the x - axis) of 120mm and width (parallel to the y - axis) of…

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Q: For the shaded area shown in the figure, a = 4 m, b = 2 m, c= 3 m, d= 6 m, and r = 1.5 m. b

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Q: 3 cm4 cm cm 3 cm 3 cm 80 mm 2m 80 mm 60 mm

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Q: ... Find the centroidal coordinates x, and y, of the shac area shown in Fig Q 4. Also calculate the…

A: Given: Equation of lines: y=0.7xy=0.2x

Q: Q3/ For the figure shown below, .compute the centroid of the figure 6m 3m 4.5 m

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Q: R+4 dumensions in millimeters

A: In strength of material, stress & strain are determined for the various materials. Stress is the…

Q: Find (a) the location of the centroid (x, y); (b) the area moment of inertia about the global x…

A: The shape with number is given below,

Q: Find the centroid of the shaded area about given axis. Figure: 1a and Figure: 1b

A: The given figure is divided into 3 parts Triangle Rectangle Quarter-circle Dimensions: L=120…

Q: calculate (a) centroid (b) Check results for n = 2 (c) Calculate Volume of the body obtained by…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the center of gravity M of the three-dimensional homogeneous wire ABCD in the figure using the…

A: Given :-  a = 24 cm  b = 36 cm  Find :- Coordinates for BC part = ?

Q: (a) Figure Q2(a) shows two functions intersect and creating an area under the curve. Determine (i)…

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Q: 3. When the point O is the origin of the coordinate axis (x-y axes) in Fig. 3-1, (1) I determine the…

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Q: Find the centroid of the shaded area about given axis of the given  Figure

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Q: b b= 134 mm, r=68 mm For the given composite geometry locate the centroid of the plane area shown…

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Q: Compute the coordinates of the centroid (7, 9) of the area shown. Also compute the area moment of…

A: A=∫0cydx=∫0cabxdxA=ab c3232A=86.95 in2x¯=∫xdA∫dA=∫0cxabx dx86.95x¯=ab ∫0cx32dx86.95x=abc5286.95…

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.