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Ball within a
shell. In Fig.
a ball
of mass m and radius R
is placed inside a spheri-
cal shell of the same
mass m and inner radius
2R. The combination is
at rest on a floor. The
ball is released, rolls
back and forth inside
the shell, and finally
comes to rest at the bot-
R
2R
tom. What is the horizontal displacement d of the shell during
this process?

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