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    Mass, Centroid, and Moments

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    Compute the mass, centroid, and moments Ix, Iy and Io of the half-disk:
    y>0, x^2+y^2<1
    with density delta(x,y)=y

    it is said we should know the primitive (sin(x))^n
    or (cos(x))^n from Pi/2 to 0

    © BrainMass Inc. brainmass.com February 24, 2021, 2:31 pm ad1c9bdddf
    https://brainmass.com/math/integrals/mass-centroid-moments-26265

    Solution Preview

    Please see the attachment.

    The region is , , which is upper half circle. ...

    Solution Summary

    This shows how to compute the mass, centroid, and moments Ix, Iy and Io of the given half-disk.

    $2.19

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