Y 8 بام ہے. 12 X
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Q: ли ө MA mp тв h
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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.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 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).
- Determine the moment of inertia of the homogenous triangular prism with respect to the y axis. Hint: For integration, use thin plate elements parallel to the x-y plane having a thickness of dz. Express your answer in terms of the variables a, b, h, and m.Determine the moment of inertia of mass with respect to the x' axis that passes through the structure's center of gravity and is parallel to the x axis. The cone has a density of 6000 kg/m3 and the cylinder a density of 8000 kg/m3. Consider H = 83Determine the moment of inertia of the homogenous triangular prism with respect to the y axis. Express the result in terms of the mass m of the prism. Hint: For integration, use thin plate elements parallel to the x–y plane having a thickness of dz.
- 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.Determine the product of inertia of the thin strip of area with respect to the x and y axes. The strip is oriented at an angle θ from the x axis. Assume that t<<l Express your answer in terms of the variables l,t and θ < (IMPORTANT)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 shape
- 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^2This question is specifically a Statics problem. Determine the moment of inertia of the shape with respect to the horizontal axis passing through its centroid.Determine 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.