For the composite area shown below, determine the moment of inertia about the horizontal centroidal axis.
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A: given:
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A: X= 4.612 cm Y= 0.5915 cm I HORIZONTAL = 2893.018 cm^4
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Q: find the moment of inertia with respect to a) x- axis b) y-axis of the area in the first quadrant…
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Q: Find the Area Moment of Inertia about an x axis passing through the centroid (Ix) of the composite…
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Q: Determine by direct integration the moment of inertia of the shaded area with respect to the x axis.
A: The elementary diagram for the shaded area is as follows:
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Q: Determine the moment of Inertia of the blue shaded composite area shown below about the x-axis only
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Q: Find the moment of inertia (lyv) of the given lamina about Y-Y axis passing through its centroid,…
A: Given data b1 = 108mm d1 = 38mm b2 = 62mm
Q: For the shaded area, a. Locate the coordinates of the centroid. b. Calculate the moments of inertia…
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Q: Problems: Determine the centroid and moment of inertia about the centroidal axis of the shaded area…
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Q: Determine the area moment of inertia about the centroidal axis X'
A: Giveny=x-x24find intersection oint 0=x-x24x=0,4
Q: B) Locate the centroid x and determine the moment of inertia about x-axes.
A: Given
Q: Find the moment of inertia (lyy) of the given lamina about Y-Y axis passing through its centroid,…
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- Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin ring (tR) by integration.Find the Moment of Inertia of the plate as shown in figure, passing through its centroid with reference to Y -Y axis. Where b1 = 55 mm, d1=110 mm, b2=160 mm, d2=30 mm, b3=65mm, d3=24mm. The value of is (unit in mm) = ______________ Answer for part 1 The value of is (unit in mm) = ______________ Answer for part 2 The value of total for the given plate is (unit in mm4) =________________ Answer for part 3
- Determine the moments of inertia and the product of inertia of the L3 x 2 x 1/4-14 angle cross section of Prob. 9.74 with respect to new centroidal axes obtained by rotating the x and y axes 30° clockwise.(Reference to Problem 9.75):Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes.Find the moment of inertia of a triangular section having 50 mm base and 60 mm height about an axis through its centre of gravity and base. Answer :IG = 300 x 103 mm4; IBase = 900 x 103 mm4The shaded area has the following properties: Ix=1.26x10^6 mm^4, Iy=6.55x10^5 mm^4, Pxy=-1.02x10^5 mm^4 Determine the moment of inertia about the x' axis if theta =30 degrees and the moments of inertia about the y' axis if theta=30 degrees
- Determine the moment of inertia for the shaded area about the x-axis. Express your answer to three significant figures and include the appropriate units. Look at the images for the needed figure and details to answer the question. y_1=x m y_2=2.1x m^2Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where b1=110 mm, d1=35 mm, b2= 62 mm & d2=108mm. (i) The X with bar on top value is (unit is in mm) = ______________ (i) The Y with bar on top value is (unit is in mm) = ______________ (iii) the Ixx1 value is (unit is in mm4)= ______________ (iv) the Ixx2 value is (unit is in mm4)= ______________ (v) The Ixx value is (unit is in mm4)=A 100×100 paper was punched from its left lower corner. A 25×25 square hole was created there. The 25×25 scrap was subsequently glued onto right upper corner of the paper. By neglecting the thickness of the paper,a) Determine the centroid of this composite area,b) Calculate the moments of inertia Ix, Iy and product of inertia, Ixy.c) Determine the principal moments of inertia and the orientation of the principal axes.(a=3 b=1)
- 420 Q2) As shown in Figure 1, choose the nearest answer letter a, b, cor d. Determine the moments of inertia for the cross-sectional area of the member shown in the Figure about * ?the y centroidal axesBy direct integration, determine the moments of inertia of the triangular area about the x- and x'-axes. 2689 in4, 2375.33 in4 6289 in4, 3257.33 in4 8962 in4, 3257.33 in4 9826 in4, 3275.33 in4Find the centroid x bar of the shaded area and the moment of inertia along x or y axis Please make the answer clear and detailed,thank you