A playground carousel is free to rotate about its center on
frictionless bearings and air resistance is negligible. Moment of
inertia is 145 for carousel. When one person standing at distance
of 1.60 m from the center, carousel has angular velocity of 0.580
rad/s. However, as this person moves inward to point located 0.654
m from the center, angular velocity increases to 0.707 rad/s. What
is persons mass?