42. From a solid sphere of density p and radius R two smaller spheres of radius R/2 are cut as shown in the figure. M.I. of resulting body about y axis is TPRS 5rpR IapR 3mpR 12 12. 4

Q: Q 20: I R= 300 l nd Ry= 100 1b , then determine the resultant (R) with respect to x'-Y' axes as…

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Q: P Given: Plate's radius:r_P= 80mm Hole's radius: r_h= 22mm Plate's constant density p = 8950 kg/ m²…

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Q: Determine the second moments with respect to The x- and y-axes shown on the figure. 4 in. 6 in. 6…

A: Write the expression of the moment of inertia in the x-axis.

Q: A rod has a solid circular cross section with a diameter of 40 mm is subjected to the shown loads.…

A: To find: The state of stress at point A. Given: The area moment of inertia of solid circular cross…

Q: for the opposite figure, a=7.52 m, b36.58 m , r34.7 m , and density of the shape is 2.82 kg/m2 a

A: Given dataa = 7.52mb = 6.58mr = 4.7mdensity of the shape ρ = 2.82kg/m3To determine the moment of…

Q: The second moment of area of a rectangle is given by the formula  I =bh^3/12 where b is the breadth…

A: Solution As we know that I=bh312=30*80312=1280000 mm4

Q: For the given 2D element shown in the diagram with positions A = 5 m and B = 5 m, answer the…

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Q: Consider a 2-dimensional system. A square of side length 2a has a square hole of side length a…

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Q: A C-section is made up of three rectangles as shown in Figure. Find (i) The centroid of a section…

A: Let us divide the given C -section into three parts of area A1, A2 and A3 Also taking O as origin,…

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: Approximate the second moment of area of the rigid sheet shown below, rotating about the axis -y.…

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Q: 200 Tco 50 300 50

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Q: 09:the shaded aren skown in the figure fied Moment of Inertia With respect te X-aris. 1 2cm X -10am-

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Q: ne cross section of an I-beam with dimensions are shown in Figur etermine the centroid ỹ of the…

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Q: For two rods of diameter 25 mm draw elevation and plan of a knuckle joint. Show partial section of…

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Q: Find the center of area

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Q: The cross sectional dimensions of a beam are shown. If the flange thickness, h, is 11.7 mm,…

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Q: P d L R A square made of aluminum (density p = 2700 k m and has dimension L = 5.20 m and thickness e…

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Q: A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area…

A: Given data: The second moment of area is I=11.5×106 mm4 The depth of rectangular cross section is…

Q: 80 + 45- 80 225 R=50 R-3야

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Q: If an axis of symmetry for the cross-section exists, the shearthe center lies at a point on this…

A: Given: Axis of symmetry for the cross section exists Whether the shear center lies at a point on the…

Q: 2n h 75mm

A: To calculate the centre of mass and moment of inertia of the shaded regionheight of the triangle…

Q: Determine the second moments with respect to The x- and y-axes shown on the figure. 9 in. 9 in. 5…

A: The moment of inertia of the problem is obtained by subtracting the semi-circle from the rectangle.

Q: The figure shows cross-section of a beam subjected to bending. The are moment of inertia (in mm4) of…

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Q: Find the moment of inertia about the y-axis for the two wires shown in the adjacent figure if they…

A: two wires given To find: moment of inertia about y axis

Q: Calculate the second moment of area for 36 cm diameter shaft in in4 about the x-x axis

A: Given Data : Diameter of shaft(d)=36 cm Since 1 cm=0.393 inches Hence Diameter of shaft(d)=14.17 in

Q: A C-section is made up of three rectangles as shown in Figure. Find (i) The centroid of a section

A: Let us divide the C - section into three different rectangles of areas A1, A2 and A3 Assuming left…

Q: Find the center of the mass of a thin plate of constant density & covering the region 5 π T bounded…

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Q: Consider the U beam section shown in the figure below, The beam section splits into 3 segments…

A: Center of mass is defined as a point where all the mass of the body can be concentrated. For disc,…

Q: Compute ¯Ix for the region shown. a 3260 in.^4   b 2630 in.^4   c 6230 in.^4   d 7230 in.^4

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Q: CALCULATE THE MOMENT OF INERTIA OF THE SECTION WITH RESPECT TO THE AXIS OF THE BENDING MOMENT WHICH…

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Q: Determine the second moments with respect to The x- and y-axes shown on the figure. 7 in. 7 in. 7…

A: Understand that the given geometry is a combination of the following shapes.

Q: A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area…

A: Given Data Moment of area of beam is : I=11.50 ×106 mm4 Depth of the rectangular section is : d=180…

Q: A square metal on the left side is Ja=10 cm 1c=5 cm a=10 cm centered around origin. Calculate the x…

A: Center of mass of right angled triangle xcm,ycm = a-2a3,h3a = Width of the triangleh = Height of the…

Q: If the figure below, three uniform thin rods, each of length L = 28 cm, form an inverted U. The…

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Q: subjected to bending. The are moment of inertia (in mm4) of this cross-section about its base

A: Given data; As shown in figure; Area moment of inertia of rectangular cross-section about its centre…

Q: 14. Form the Fig.(2) The second moment of area Iyy is then given by; 50mm Imm 120mm 2mm Fig. (2) 2mm…

A: Find the moment of inertia of the section of the non circle

Q: The moments and product of inertia of an L4 x 3 x 1/4-in. angle cross section with respect to two…

A: I¯avg=12(I¯x+I¯y)=12(1.33+2.75)=2.040 in4I¯min=I¯avg-RR=2.040-0.692=1.348 in4