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2002AugQualMECH - = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ∂ ∂ − =...

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Ben Sauerwine Practice for Qualifying Exams Problem Source: CMU Qualification Exam Day 2 (August 2002) (2) Consider a solid uniform sphere of radius a and mass m which rolls without slipping inside a fixed cylindrical pipe of radius R. Neglect friction, and let the sphere move only in the plane shown by the figure: (a) Show that the moment of inertia of a uniform sphere is given by 2 5 2 ma I = .
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