Represent the moments of the region R bounded by the function f(x) = x + 1 and g(x) =1 - x x² and the lines x=0 and x=3. Mass = M = Moment about y-axis = My = (³ Moment about x-axis = Mx = IS = So 3 1³ Then calculate the center of mass for R (round to 2 decimal places) dx dx dx

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Represent the moments of the region R
bounded by the function f(x) = x² + 1 and g(x)=1 - x
and the lines x=0 and x=3.
Mass = M =
Moment about y-axis = My =
Moment about x-axis = Mx =
3
So
x =
Y
11
3
Š
Then calculate the center of mass for R (round to 2 decimal places)
S³
dx
dx
dx
Transcribed Image Text:Represent the moments of the region R bounded by the function f(x) = x² + 1 and g(x)=1 - x and the lines x=0 and x=3. Mass = M = Moment about y-axis = My = Moment about x-axis = Mx = 3 So x = Y 11 3 Š Then calculate the center of mass for R (round to 2 decimal places) S³ dx dx dx
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