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Consider a solid of mass density p(r, y, z) = Poz (constant po > 0) occupying the region in R' given by V ((r,y,2)|0

Consider a solid of mass density p(r, y, z) = Poz (constant po > 0) occupying the region in R' given by V ((r,y,2)|0

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Consider a solid of mass density p(z, y, z) = Poz (constant po > 0) occupying the %3D region in R given by V {(r,y,z)|0<I< 1, 0<y< 1, 0<z< 1}. Show that the moment of inertia of the solid about the z-axis, I, is given by the formula M. where M is the mass of the solid
Transcribed Image Text:Consider a solid of mass density p(z, y, z) = Poz (constant po > 0) occupying the %3D region in R given by V {(r,y,z)|0<I< 1, 0<y< 1, 0<z< 1}. Show that the moment of inertia of the solid about the z-axis, I, is given by the formula M. where M is the mass of the solid
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