Calculate the moment of inertia of the shaded area about the x-axis. A 83 mm 27 mm ---- 44 mm 44 mm Answer: Ix = i (106) mm4
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- Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin ring (tR) by integration.The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4, respectively. Determine y (the y-coordinate of the centroid C) and Ix (the moment of inertia about the centroidal x-axis).The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.
- Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.The product of inertia of triangle (a) with respect to its centroid is Ixy=b2h2/72. What is Ixy for triangles (b)-(d)? (Hint: Investigate the signs in the expression Ixy=IxyAxy.)Using Ix and Iu from Table 9.2, determine the moment of inertia of the circular sector about the OB-axis. Check your result for =45 with that given for a quarter circle in Table 9.2.
- 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 mm4Determine the moments of inertia of the shaded area with respect to the x and y axes. use a horizontal differential element of thickness for both calculations.Check the alternative that presents the moment of inertia of the hatched figure in relation to the y axis. a = 2cm b = 4.8cm Alternatives: a) 75,52 b) 6,28 c) 5,41 d) 52,19 e) 49,92
- Find moment of inertia of the cross-sectional area about the X-axis, Y-axis, and X'-axis, given: L1 = 60 mm, L2 = 20 mm, L3 = 60 mm, L4 = 90 mmDetermine the moment of inertia with respect to the x and y axes of the solid formed by revolving y=x2 and x=y2 about x=1. Show complete solution witn graph and strips.Determine the moments of inertia of the Z-section about its centroidal x0- and y0-axes.