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Suppose that the object rolls withoutslipping. If the size of the object is negligible and the radius ofthe loop is R, find the minimum height from which the objectmust be released, so that it does not loose contact, if itis

a) a solid sphere;
b) a solid cyclinder;
c) a spherical shell; and
d) a cylindrical shell.
e) Compare your answers with the sliding withoutfriction case.

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