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64.
 As seen from above, a playground carousel is
rotating counterclockwise about its center on frictionless bearings. A person
standing still on the ground grabs onto one of the bars on the carousel very
close to its outer edge and climbs aboard. Thus, this person begins with an
angular speed of zero and ends up with a nonzero angular speed, which means
that he underwent a counterclockwise angular acceleration. The carousel has a
radius of 1.50 m, an initial angular speed of 3.14 rad/s, and a moment of
inertia of 125 kg × m2.
The mass of the person is 40.0 kg. Find the final angular speed of the
carousel after the person climbs aboard.
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