Show that the moment of inertia of a disk of mass M and radius R is . Divide the disk into narrow rings, each of radius r and width dr. The contribution to I by one of these rings is simply r2 dm,...

Show that the moment of inertia of a disk of mass M and radius R is . Divide the disk into narrow rings, each of

radius r and width dr. The contribution to I by one of these rings is simply r2 dm, where dm is the amount of mass contained

in that particular ring. The mass of any ring is the total mass times the fraction of the total area occupied by the area of the

ring. The area of this ring is approximately 2πrdr. Use integral calculus to add up all the contributions.

Sections 9.5, 9.6