In the diagram below there is a thick-walled cylindrical tube. Its height is H = 5.0 m, itsinner radius is R1 = 1.0 m, its outer radius is R2 = 3.0 m and its mass is M = 10.0 kg. Thevolume density is proportional to the square of the height h measured from the top of thecylinder: p x h?.R2a) Proof that the proportionality constant k (p = kh?) is k = ,ms100mb) Determine the position of the center of mass of this object.c) Determine I, the moment of inertia of the cylindrical tube around the axle goingthrough the center of the top (as shown on diagram). You can use lying =mr? (therotational inertia of a ring of radius r and mass m rotating around an axis parallel toit, through its center).

Answered: In the diagram below there is a…

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In the diagram below there is a thick-walled cylindrical tube. Its height is H 5.0 m, its inner radius is R1 = 1.0 m, its outer radius is R2= 3.0 m and its mass is M = 10.0 kg. The volume density is proportional to the square of the height h measured from the top of the cylinder: p « h?.