A merry-go-round, with mass m and moment
of inertia I, spins with angular speed ω on
the Earth's equator. The merry-go-round's
surface is parallel to the Earth's surface with
the y-axis oriented north and the x-axis oriented
east. Viewed from above the merrygo-round
spins counter-clockwise, and viewed
from above the north pole the earth rotates
counter-clockwise. If Tday is one day, and Re
is the Earth's radius, what is the total angular
momentum of the merry-go-round about
the center of the Earth?
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