e length L of the boomerang?

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Everyone's favorite flying sport disk can be approximated as
the combination of a thin outer hoop and a uniform disk, both
of diameter Da = 0.273 m. The mass of the hoop part is
mh =
: 0.120 kg and the mass of the disk part is
md = 0.050 kg.
Imagine making a boomerang that has the same total moment
of inertia around its center as the sport disk. The boomerang
is to be constructed in the shape of an "X," which can be
approximated as two thin, uniform rods joined at
their midpoints.
If the total mass of the boomerang is to be m₁ = 0.235 kg,
what must be the length Lы of the boomerang?
|
I
Lb =
=
Cross-sectional view
m
Transcribed Image Text:Everyone's favorite flying sport disk can be approximated as the combination of a thin outer hoop and a uniform disk, both of diameter Da = 0.273 m. The mass of the hoop part is mh = : 0.120 kg and the mass of the disk part is md = 0.050 kg. Imagine making a boomerang that has the same total moment of inertia around its center as the sport disk. The boomerang is to be constructed in the shape of an "X," which can be approximated as two thin, uniform rods joined at their midpoints. If the total mass of the boomerang is to be m₁ = 0.235 kg, what must be the length Lы of the boomerang? | I Lb = = Cross-sectional view m
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