Find the mass and center of mass of the lamina corresponding to the region R for each density. R: square with vertices (0, 0), (a, 0), (0, a), (a, a) (a) p=k m= (x, y) = (b) p = ky (x,y) k.a² 2 m = za = (x, y) m = (c) P = kx a a 2'2 k 3 2a a 3 2 3 ka 2 a 3a 2' 4 X
Find the mass and center of mass of the lamina corresponding to the region R for each density. R: square with vertices (0, 0), (a, 0), (0, a), (a, a) (a) p=k m= (x, y) = (b) p = ky (x,y) k.a² 2 m = za = (x, y) m = (c) P = kx a a 2'2 k 3 2a a 3 2 3 ka 2 a 3a 2' 4 X
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Transcribed Image Text:Find the mass and center of mass of the lamina corresponding to the region R for each density.
R: square with vertices (0, 0), (a, 0), (0, a), (a, a)
(a) p=k
m=
(x, y)
=
(b) p = ky
(x,y)
k.a²
2
m = za
=
(x, y)
m =
(c) P = kx
a a
2'2
k 3
2a a
3 2
3
ka
2
a 3a
2' 4
X
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