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jabar616
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Homework Statement
Find the x-coordinate of the center of mass of the lamina that occupies the region cut from the first quadrant by the lines x = 6 and y = 1 if the density function is p(x,y) = x + y + 1
Homework Equations
Mass = ∫∫spdσ
X Coordinate of center of Mass = Myz/M
Myz = ∫∫sxpdσ
The Attempt at a Solution
I am not sure how to set this one up, as I have not seen one like this without a bounding equation (ie x2 + y2 + z2 = a2 or similar.)
I attempted simply setting up the integral as being from 0≤x≤6 and 0≤y≤1 so M=∫∫x+y+1dydx = 27 and Myz = ∫∫x2 +xy +x dydx = 126
However, dividing 126 by 27 results in 14/3, not 11/3 as the answer theoretically should be.
Any help would be greatly appreciated!