A uniform disk of radius R is cut in half so that the remaining half bas mass M (Fig. 931a). (a) What is the moment of inertia of this half about an axis perpendicular to its plane through point A? (b) Why did your answer in part (a) come out the same as if this were a complete disk of mass M? (c) What would be the moment of inertia of a quarter disks of mass M and radius R about an axis perpendicular to its plane passing through point B (Fig. 9.31b)?

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(a) м (b) м