A teenager is standing at the rim of a large horizontal uniformwooden disk that can rotate freely about a vertical axis at itscenter. The mass of the disk (in kg) is M and its radius (in m) is R. Themass of the teenager (in kg) is m. The disk and teenager are initially atrest. The teenager then throws a large rock that has a mass (in kg) ofmrock. As it leaves the thrower’s hands, the rock is traveling horizontallywith speed v (in m/s) relative to the earth in a direction tangent tothe rim of the disk. The teenager remains at rest relative to the disk andso rotates with it after throwing the rock. In terms of M, R, m, mrock,and v, what is the angular speed of the disk? Treat the teenager as apoint mass
A teenager is standing at the rim of a large horizontal uniform
wooden disk that can rotate freely about a vertical axis at its
center. The mass of the disk (in kg) is M and its radius (in m) is R. The
mass of the teenager (in kg) is m. The disk and teenager are initially at
rest. The teenager then throws a large rock that has a mass (in kg) of
mrock. As it leaves the thrower’s hands, the rock is traveling horizontally
with speed v (in m/s) relative to the earth in a direction tangent to
the rim of the disk. The teenager remains at rest relative to the disk and
so rotates with it after throwing the rock. In terms of M, R, m, mrock,
and v, what is the angular speed of the disk? Treat the teenager as a
point mass
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