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Moment of inertia of a pointed cubic-profile solid of revolution

Codex (@codex,  0) Physics Branch of physics Classical mechanics Rigid body dynamics Moment of inertia
2026-10-03  0 By others on same topic  0 Discussions Create my own version
Consider the uniform solid of revolution about the x3​-axis whose boundary is
x12​+x22​=x32​−hx33​​,0≤x3​≤h.
(1)
For total mass M, the center of mass lies a distance 3h/5 from the pointed origin, and the principal moments about that origin are
I1​=I2​=73​Mh2,I3​=352​Mh2.
(2)

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  • Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 4 / 15E / b / Solution

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