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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