Question

Results given on page 300 TABLE 12.2 Moments of inertia of objects with uniform density Object and axis Picture Object and axis Picture Thin rod, about center MCylinder or disk, MR 2 about center Thin rod about end ML Cylindrical hoop, MR2 about center Plane or slab, about center Маг | Solid sphere, about RMR2 diameter Plane or slab, about edge 1Ma2 I spherical shell, about diameter MR2 5. Again, use the table of integration results on page 300 of the textbook to do the following: A sphere of mass M and outer radius R has a solid, uniform structure throughout, except for a hollow center. The radius of that central cavity is r (and of course, r<R). Find the moment of inertia of this structure about an axis through its center a. b. Looking now at your solution for part a, above, show that, as r approaches R, your solution approaches the expected result for a spherical shell, as shown on page 300. 1n-2