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.Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin ring (tR) by integration.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.Suppose that a = 1.21 m and b = 1.1 m . (Figure 1) 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.Consider 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 thanIzq
- What is moment of inertia of a rigid object? Explain with the help of proper diagrams.For the plane section in Fig. 14b, determine the moment of inertia about its horizontal and vertical centroidal axes.For a thin, circular ring, what is its mass moment of inertia? Is it Ixx = Iyy = (mr^2)/4, and Izz = (mr^2)/2? Also, if I have integral(dm), for this ring will dm = (m/(2*pi*r)) * (r*dtheta). Let me know if I am wrong.
- Calculate and determine the Moments and Principal Axes of Inertia of the profile below, indicating the best position to use the profile.Where:h = 21 cmb = 28 cmCalculate and determine the Moments and Principal Axes of Inertia of the profile below, indicating the best position to use the profile. h = 21 cmb = 28 cmCalculate and determine the Moments and Principal Axes of Inertia of the profiles below, indicating the best position to use the profile.h = 21 cmb = 28 cm