Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -130 mm 21 mm yo 155 mm 21 mm ---- -
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Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. 130 mm 22 mm
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- 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.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 integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.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.Determine the moments of inertia of the Z-section about its centroidal x0- and y0-axes.
- Determine the directions of the principal axes with origin located at point O, and the principal moments of inertia for the area about these axes.Determine the moment of inertia about the horzontal axis through the centroid, x bar of the composite shape. Also, determine the moment of inertia about the vertical axis through the centroid, y bar of the composite shapewhat is the right answer and solution? Determine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point O.