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Unformatted text preview: Lets work a couple of examples. Example 1 Determine the center of mass for the region bounded by , on the interval . Solution Here is a sketch of the region with the center of mass denoted with a dot. Lets first get the area of the region. Now, the moments (without density since it will just drop out) are, The coordinates of the center of mass are then, Again, note that we didnt put in the density since it will cancel out. So, the center of mass for this region is . Example 2 Determine the center of mass for the region bounded by and . Solution The two curves intersect at and and here is a sketch of the region with the center of mass marked with a box. Well first get the area of the region. Now the moments, again without density, are The coordinates of the center of mass is then, The coordinates of the center of mass are then, ....
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 Fall '08
 prellis

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