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Unformatted text preview: The moment of inertia of the rod around its end point (see Figure 11.4) can now be calculated using the parallel axes theorem Figure 11.3. Sample Problem 11-8. Figure 11.4. Sample Problem 11.8. Example: Moment of Inertia of Disk Figure 11.5. Moment of inertia of a disk. A uniform disk has a radius R and a total mass M. The density of the disk is given by To calculate the moment of inertia of the whole disk, we first look at a small section of the disk (see Figure 5). The area of the ring located at a distance r from the center and having a width dr is The mass of this ring is The contribution of this ring to the total moment of inertia of the disk is given by The total moment of inertia can now be found by summing over all rings: Substituting the calculated density we obtain...
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