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Unformatted text preview: Let’s 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. Let’s 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 didn’t 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. We’ll 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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This note was uploaded on 11/10/2011 for the course MATH 136 taught by Professor Prellis during the Fall '08 term at Rutgers.
 Fall '08
 prellis

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