Let D be the planar region occupied by a thin plate with n and density function 8(x,y) = y². If C C 2 a 12 and ³4 = 8 find the coordinat

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let D be the planar region occupied by a thin plate with mass equal to 2 units
and density function 8(x,y) = y².
If f S xy² dA
xy²dA = 12 and y³dA = 8, find the coordinates (x, y)
D
D
of the Centre of Mass of the plate.
Enter x in Blank # 1 and Enter y in Blank # 2.
Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc.
No spaces please.
Blank # 1
Blank # 2
Transcribed Image Text:Let D be the planar region occupied by a thin plate with mass equal to 2 units and density function 8(x,y) = y². If f S xy² dA xy²dA = 12 and y³dA = 8, find the coordinates (x, y) D D of the Centre of Mass of the plate. Enter x in Blank # 1 and Enter y in Blank # 2. Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc. No spaces please. Blank # 1 Blank # 2
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