5) The mass of the homogeneous, thin plate is 36 kg. Determine its mass moment of inertia about the x axis. ANS. 3.24 kg - m² 0.4 m 0.4 m 0.3 m 0.3 m
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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).Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin ring (tR) by integration.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 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.Select the correct S I units for the Moment of Inertia for an area. m3 m4 kg m2 kg m3Determine 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 = 83
- The difference between the moments of Inertia of area A with respect to the x1 and x axes is 0.365m^4. (Ix1-Ix=0.365)Calculate the area, knowing that A has its CG at C. P=17Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes.The moments of inertia about the x- and u-axes of the plane region areIx = 14 × 10^9 mm^4 and Iu = 38 × 10^9 mm^4, respectively. If h = 200 mm, determine the area of the region, and the radius of gyration about the centroidal axis parallel to the x-axis.
- Determine the moment of inertia (cm4) Īx of the area shown with respect to the horizontal line that passes to the centroid of the composite area if a = 5.3 cm, b = 11.9 cm, and c = 6 cm. Round off only on the final answer expressed in 3 decimal places.For the blue shaded area shown in the image below, if dimension a = 1.5 m, determine its area moment of inertiaI¯y' (in m4) about the centroidal vertical y'-axis. Note: b is not equal to a and is b=a^3Determine the mass moment of inertia (in lb-ft-sec2) of the object shown with respect to its geometric center. Assume that the object is madeof cast iron with density equal to 7845 kg/m3. All given dimensions in the object are in inches.