༡། a a 0. X 2a -2a- PROBLEM 9.36 Determine the moments of inertia of the shaded area shown with respect to the x and y axes.
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- 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.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.)Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin ring (tR) by integration.
- NiloConsider a circular, semi-circular, and a quarter-circular steel plate, whose moment of inertia about the z-axis are Izc, Izs, and Izq, respectively. They have equal mass densities and thicknesses. Which of the following is correct? a. Izc=Izs greater than Izqb. Izcgreater thanIzs=Izqc.Izcgreater thanIzsgreater thanIzqSolve for the mass moment of inertia for X and Y for this image. Use a double integral to get an upvote. Explain each step as you solve and why you do each step. Hand written solution please.
- . Please provide solutions and answer for my sample review problems, TYSM!(24) Helping tags: Statics of rigid bodies, engineering math . . . WILL UPVOTE, just pls help me answer the question and show complete solution. Thank you!Determine by direct integration the moments of inertia of the trapezoidal area about the x- and y- axes. Find the polar moment of inertia about point O. 0.8b b 1.2b Answers: Ix = .3 ly = %3D i .304 b4 lo = i .604 b4