The uniform lamina of density 2.2 kg/m2. for a=2.2 m,b=4.8 m,c=8 m,d=8.9 m  1-The x-co-ordinate of total area centroid is: (a.8.27 - b.13.17 - c.7.05 - d.8.88 - e.6.13) 2-  The y-co-ordinate of total area centroid is: (a.1.96 - b.2.68 - c.3.04 - d.1.61 - e.3.57) 3- The total mass is : ( a. 163.00 - b. 326.00 - c. 244.50 - d. 81.50 - e. 40.75 )

Q: The three legs of a small glass-topped table are equally spaced and are made of steel tubing, which…

A: Solution: Given Data: D=24 mmA=220 mm2d=600 mmt=10 mmρs=7860 kg/m3ρg=2190 kg/m3   To Find: X-Y-Z-

Q: Locate the centroid of the shaded area. 1.18b Answers (x, y) = (i x = ky²_ b 7 TIL 2b i )b

A: To find: The centroid. Given: The shaded area is shown below.

Q: Determine the centroid of the area shown by direct integration. 185 y 3/₂ = kx¹/2 ^y₁ = mx )a. )b. b

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Q: A block of stone is cut so that its cross‑section is a parallelogram. The width of the bottom side…

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Q: The uniform lamina of density 8 kg/m²". for a=8 mb=1.5 m.ca1.7 mde1.9 m, x-co-ordinace of shape (1)…

A: Given data: a=8 m b=1.5 m c=1.7 m d=1.9 m

Q: . Determinate the centroid of the semi-circle 1 2.Determinate the centroid of the triangle 3…

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Q: Determine the y-component of the centroid (cm) of the region shown if a=16cm, b=21cm, c=52cm and…

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Q: Determine the centroid of the symmetrical composite body shown.

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Q: (a) Set up the integration to determine the centroid (b) Calculate the area of the surface obtained…

A: (a) The area of the strip in the above diagram, The x-coordinate of the centroid is written as,…

Q: 4. Determine the coordinates of the centroid of the area shown, with respect to the given axes. r4cm…

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Q: For the bounded and shaded region,

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Q: a) Determire the centroid of the shape (5) b) Determine Ix (moment of nertia about x-axis To 2" 2"…

A: Centroid is the Point at which mass of a Geometric Object supposed to be act Moment of Inertia is…

Q: Determine the y-component of the centroid (cm) of the region shown if a=15cm, b=22cm, c=54cm and…

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Q: Determine the y-component of the centroid (cm) of the region shown if a=16cm, b=21cm, c=52cm and…

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Q: -38 vmm- T 2 5mm ろ6mm 38 mm 子5 a) soive for the centroid coordinates ofthe Plane tndedfara, Shaded…

A: Using the relation for the coordinates of the centroid of the given area as:…

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: Determine the y-component of the centroid (cm) of the region shown if a=50cm, b-22cm, c=16cm and…

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Q: che parts about the x'-x'axi=

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Q: QUESTION 35 Determine location (coordinate) of the centroid of the composite body shown. (X=0.954 m,…

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Q: 3. Calculate the y-coordinate of the centroid of the shaded area shown in Fig. 3.

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Q: 1. Locate the centroids of the plane area shown. (a) 4 in.- J 1 in. 5 in. 1 in. 2 in. (d) Y 6 in. 8…

A: (a) To find: The Centroids of the plane area shown. FBD: The free body diagram shown below. Formula…

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: The homogeneous, planar plate of constant thickness in the figure the coordinates of the centroid…

A: Centroid of an area is a point located in the region which is considered to be placed at an average…

Q: Q.1) A thin steel wire of a uniform cross-section is bent into the shape shown. Locate the center of…

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Q: A circular cylinder is welded on the center of the base of a rectangular prism, forming a…

A: Given: The mass of the rectangular prism: →mp=10 Kg And mass of the cylinder: →mc=2 Kg Because whole…

Q: Locate the centroid (X&Y) of the shaded area shown in the figure. Y 4cm 14cm -18cm -5R 18cm 4cm 60cm…

A: Given, dimensions of the various figures. Required: Centroid of the given figure.

Q: Determine the centroid of the homogeneous plate, with respect to given axes (? "). Also determine…

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Q: Locate the centroid (X only) of the shaded area y =12 - 3 x 3 m Fig.1.A 3 m y = 4 – 2 m -2 m

A: Consider a small strip of length dx Integrating the area of the strip over the limits gives the…

Q: H.W. 1: For the area shown below, determine the location of centroid. 0.25 cm 1 cm Hole (r= 0.5 cm)…

A: Consider the given section into three different sections as shown below.

Q: 4. The distances from the centroid of the shapes in Fig.(1.4) (1&2) to X and Y axes, (y₁, x₁) are-…

A: Draw the given diagram.

Q: A- Locate the centroid (a only) of the shaded area y-12-3x Fig.LA

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Q: The shaded area given in Figure 3 ; Calculate (a) the x-value of the center of gravity (b) the…

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Q: Q.4/ Determine the centroid of the sh

A: Determine the centroid.

Q: 1. Determine the centroid of the shaded area in this Figure (30P). 3.

A: Centroid, also called as center of area  of any body is the point at which the whole area of the…

Q: y 6 in. 8 in. 8 in. r= 4 in. 12 in. X

A: Basic method to find centroid of plane area.

Q: Q3.Develop the lateral surface area of a square prism of base side 30 mm and height 60 mm.

A: Given Square prism Side = 30mm Height = 60mm To find Development of the lateral surface area

Q: Q.2) The composite L-shaped object shown below is composed of two prismatic homogenous bars. Bar 1…

A: Given data: The density of the steel bar is ρs=7850 kg/m3 The density of the titanium bar is…

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.