Show that the moment of inertia for the area of any regular polygon is a constant...

  

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Show that the moment of inertia for the area of any regular polygon is a constant with respect to all axes in the plane of the area which pass through its centroid. 856. Show that the moment of inertia for the area of a quarter circle with respect to its axis of symmetry is (-2) where r is the radius. 16 857. The figure for Prob. 825 is redrawn as shown in Fig. P-857. Check the answer to Prob. 825 (i.e., find 1) by first computing I, and I, then using Mohr's circle to find I, and finally transferring this value to the X axis. -15% - -10% X. 9-sin 8" FIG. P-858. FIG. P-857. 858. Use the idea discussed in Prob. 857 to compute the value of I, for the area shown in Fig. P-858. Ans. I, 2660 in." Show that the moment of inertia for the area of any regular polygon is a constant with respect to all axes in the plane of the area which pass through its centroid. 856. Show that the moment of inertia for the area of a quarter circle with respect to its axis of symmetry is (-2) where r is the radius. 16 857. The figure for Prob. 825 is redrawn as shown in Fig. P-857. Check the answer to Prob. 825 (i.e., find 1) by first computing I, and I, then using Mohr's circle to find I, and finally transferring this value to the X axis. -15% - -10% X. 9-sin 8" FIG. P-858. FIG. P-857. 858. Use the idea discussed in Prob. 857 to compute the value of I, for the area shown in Fig. P-858. Ans. I, 2660 in."

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To demonstrate that the moment of inertia for the area of any regular polygon is constant with respect to all axes in the plane of the area which pass ... View the full answer