Why should the force components act through the centroid of the cross-section?

Q: Locate the centroid

A: Consider the diagram as shown below.

Q: Find the centroid of the given plate. Where AB = DE = 260mm, CG = BE = HF =240 mm, AB = 2 GB

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Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume a - 2.06. c = 1.7b,d =…

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Q: How can we determine the location of the centroid?

A: It’s the average of all the points of an object, this is the position where an object can be…

Q: Determine the location of the centroid of the shape. y 5 in 8 in 3 in 4 in 8 in 5 in X

A: Now, fill the below table using Centroid and Area formulas,ShapeArea…

Q: 5 in. 2 in. -8 in.- R = 6 in. --X

A: The wire has three segments : 1. length of 5 in 2. length of 10 in. 3. A arc of 6 in. radius.

Q: the centroid

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Q: Locate the centroid of the volume. =as

A: Consider the elementary volumetric strip of thickness dz and radius y as shown in the below figure.

Q: Determine the centroid of an unequal I–section about the base of the section. Specifications are as…

A: it is symmetric about y-axis so centroid lies on y-axis (means x=0) Further, it can be divided into…

Q: Locate the centroid of the area shown.

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Q: 8 cm r= 3 cm 10 cm R= 5 cm

A: The Center of mass is a point where the sum of the moment of the weight of each particle is zero. It…

Q: Locate the centroid of the area shown in the figure by direct integration. (Caution: Carefully…

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Q: Identify the centroid of the given triangle where B=60, H= 120 plane section as shown in figure.2 B…

A: The centroid for a right angle triangle at x=B/3, Y=H/3

Q: - 60 - - 60 - 60 R= 80 80 80 - 40

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Q: Determine the distance h to which a 4-in. diameter hole must be bored into the top of the solid…

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Q: Locate the centroid (?, ?) of the uniform rod.

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Q: Question: Locate the centroid of the shaded composite area y -12" 4" 4" 1" 2" 5" 2" 5" Drawing may…

A: Centroid of the shaded composite area, (x-,y-) = (7.367",4.752")

Q: Home work Find the centroid of the area shown, assuming a=15 mm. y 12 mm L 8 mm r-6 mm 3 mm ri-2 mm…

A: First of all, find the centroid of the rectangle 1, Area of the rectangle 1 is, A1 = 12 mm x 15 mm…

Q: Identify the expressions for the centroid of the area shown. Use direct integration. This is the…

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Q: 5-102 Locate the centroid of the shaded area shown in Fig. 100 mm 60 mm 60 mm 100 mm 160 mm 40 mm 40…

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Q: -100 20 A, 91 20 100 192 iG y 30 A3 93 150- All dimensions in mm

A: GIVEN:- I-section of given dimensions. To locate the centroid "G" :- DIAGRAM :- *(note:- here all…

Q: Find the centroid of the given plane lamina. where PQ=20 cm, PS = SU = 10 cm, WX=5 cm, SX=PQ/3,…

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Q: Locate the centroid of the semi-elliptical area shown.

A: The equation of semi-ellipse, On differentiation the above equation,   The expression for the…

Q: b2 hi Radius R b-

A: Area mm2 X Y Rect 4000 25mm 40mm circle -803.84 25mm 40mm triangle 1600 50mm 26.67mm…

Q: 12 R= 3 8 12 CO

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Q: find centroid of the section if b =15 mm and h = 20 mm

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Q: Determine the centroid of an unequal l-section about the base of the section. Specifications are as…

A: Solution: Since axises are not specified, we can assume the axis as shown below. The x-coordinate of…

Q: 5-101 Locate the centroid of the shaded area shown in Fig. y y? = 2x 2 in. y= 0.52 2 in.

A: The diagram of the shaded area with a vertical strip is given as, The equations of curves are given…

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: 5. Locate the centroid of the bent wire shown below. The wire is homogeneous and of uniform across…

A: Locate the centroid of the bent wire shown below. The wire is homogeneous and of uniform across…

Q: Locate the centroid of the area shown in the figure by direct integration. (Caution: Carefully…

A: given; a=38incentroid (x)=?centroid(y)=?

Q: Please provide all written work

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Q: Locate the centroid of the composite figure below

A: Consider the diagram as shown below.

Q: Determine the y-coordinate of the centroid of the shaded area.

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Q: Question 2: ANS: (133.3 mm, 100.0 mm) Locate the centroid of the shaded area shown below, if b=200…

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Q: Determine the location of the centroid and calculate Ix and ly for the compos

A: Given

Q: la 30 in b 7 in 10 in 5 in le 18 in b I e x2 - - y = %3D 18 Answers: in y = in NOTE: All answers in…

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Q: Locate the centroid (x, y) of the composite area. Oa) = 0.97 fty = 0.45 ft Ob) = 1.48 fty = 0.87 ft…

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Q: Locate the centroid y~ the area

A: The given shaded area is –   Let us take a strip of thickness dx. then the area of the shaded can…

Q: Find the centroid of the given plane lamina. where PQ=16 cm, PS = SU = 8 cm, WX=4 cm, SX=PQ/3, ST=8…

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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.