b. Let p dv be the mass of an element of a solid of volume V, where p is the mass of unit volume. Then the moment of inertia of the solid of volume V about the x-axis is given by, M.1.x-axis = p(y² +2²) dv V Find the moment of inertia of the uniform solid in the form of octant of the ellipsoid x² + y² + z² = 4; for z> 0 about the x- axis.

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b.
Let p dv be the mass of an element of a solid of volume V, where p is the mass
of unit volume. Then the moment of inertia of the solid of volume V about the
x-axis is given by,
M.1.x-axis = p(y² + z²) dv
V
Find the moment of inertia of the uniform solid in the form of octant of the
ellipsoid x² + y² + z² = 4; for z> 0 about the x-axis.
Transcribed Image Text:b. Let p dv be the mass of an element of a solid of volume V, where p is the mass of unit volume. Then the moment of inertia of the solid of volume V about the x-axis is given by, M.1.x-axis = p(y² + z²) dv V Find the moment of inertia of the uniform solid in the form of octant of the ellipsoid x² + y² + z² = 4; for z> 0 about the x-axis.
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