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Center of Mass for 3D Region in Cartesian Coordinates
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Description
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Determine  ,  , and  , the center of mass coordinates for a 3D region in Cartesian coordinates.
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Center of Mass for 3D Region in Cartesian Coordinates
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Density:
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| (1) |
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Region:  <= y and y <= y[2](x), z[1](x, y) <= z and z <= z[2](x, y)}](/support/helpjp/helpview.aspx?si=3997/file05224/math76.png)
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](/support/helpjp/helpview.aspx?si=3997/file05224/math83.png)
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| (2) |
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](/support/helpjp/helpview.aspx?si=3997/file05224/math99.png)
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| (3) |
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](/support/helpjp/helpview.aspx?si=3997/file05224/math115.png)
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| (4) |
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](/support/helpjp/helpview.aspx?si=3997/file05224/math131.png)
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| (5) |
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| (6) |
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| (7) |
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Moments Mass:
Inert Integral - 
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![Student[MultivariateCalculus][CenterOfMass](__x__*__y__*__z__, __z__ = 1-__x__-__y__ .. 10-__x__^2-__y__^2, __y__ = __x__^2 .. __x__, __x__ = 0 .. 1, output = integral)](/support/helpjp/helpview.aspx?si=3997/file05224/math193.png)
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| (8) |
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Explicit values for  ,  , and 
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![Student[MultivariateCalculus][CenterOfMass](__x__*__y__*__z__, __z__ = 1-__x__-__y__ .. 10-__x__^2-__y__^2, __y__ = __x__^2 .. __x__, __x__ = 0 .. 1)](/support/helpjp/helpview.aspx?si=3997/file05224/math214.png)
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| (9) |
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